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Topic: Antibracket algebra

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SuperPoisson algebra

Poisson bracket

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	Books (Latin a), sorted by title
		Algebra, algebraic topology and their interactions: Proceedings of a conference held in Stockhholm, Aug.3-13, 1983 /J.-E.Roos, ed.
		Algebraic geometry: Bowdoin 1985 /S.J.Bloch S.J., ed.-Providence, R.I.: Amer.
		Algebraic K-theory, commutative algebra, and algebraic geometry: Proc.
	www.mccme.ru /ium/books/t_ba.html (5920 words)

	Contemporary Mathematics, 219
		The algebraic BRS method of renormalization is applied to the supersymmetric Yang - Mills theories.
		The leading technique is an appropriate form of geometric quantization based on current algebra, implemented in the framework of the Clebsch fluid description combined with the coadjoint orbit picture.
		This index, which we call ``algebraic entropy'', is conjectured to measure the obstruction to the existence invariants of the map.
	diffiety.org /books/conm219.htm (1342 words)

	XIth OPORTO MEETING on GEOMETRY, TOPOLOGY AND PHYSICS: Courses
		In hindsight, one may now see that the general form of Abel's differential equations for the rational motion of configurations of points on an algebraic curve was in some ways the decisive event in the development of the theory of algebraic curves in the nineteenth century.
		The extension of Abel's differential equations to configurations of points on higher dimensional algebraic varieties is one of the central problems in modern algebraic geometry.
		According to a celebrated uniqueness theorem for the Einstein field equations, the exterior gravitational and electromagnetic fields of a charged rotating fl hole in equilibrium are described by one of the exact solutions belonging to the three-parameter family of non-extreme Kerr-Newman geometries.
	www.math.ist.utl.pt /~jmourao/om/omxi/textocourses.html (1740 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		The odd mechanics, 3 years later rediscovered by Batalin and Vilkovysky, is introduced together with algebras that preserve it and associated contact structures.
		Orthogonal polynomials of discrete variable and Lie algebras of complex size matrices (with A. Sergeev) In: Procedings of M. Saveliev memorial conference, MPI, Bonn, February, 1999, MPI-1999-36, 49-70; Theor.
		Physics, to appear The ``antibracket'' from [9] is quantized (solution of a tempting problem) and a new and exceptional quantization of the Lie superalgebra of Hamiltonian vector fields on (22)-dimensional superspace is described: elucidation of [27] and [60].
	www.matematik.su.se /~mleites/pub.html (2630 words)

	Not Even Wrong » Blog Archive » P. University Press
		The Virasoro algebra is the centrally extended lie algebra of diffeomorphisms of the circle.
		A clarification: an extension of a Lie algebra L by its module M is an element in H^2(L,M).
		This Lie derivative looks exotic, involving a lift of the vector algebra (the infinitesimal diffeomorphisms) from the base manifold to the gauge bundle by means of a fixed connexion, ensuring that the commutators in the Lie bracket on E can be patched together on the overlaps of a local trivialization.
	www.math.columbia.edu /~woit/wordpress/?p=438 (9720 words)

	How To Quantize Antibracket (ResearchIndex) (Site not responding. Last check: 2007-11-06)
		The uniqueness of deformations of Poisson Lie algebra po(2n) was a folklore since long ago.
		Actually it is wrong, as stated, because the answer depends on the class of functions (for polynomials this is true, but false for Laurent polynomials).
		Several years ago Batalin and Tyutin proved the statement for Poisson Lie superalgebras po(2njm) of certain class; their result was corroborated by Kontsevich's studies on deformations of the associative algebras and superalgebras.
	citeseer.ist.psu.edu /313838.html (226 words)

	Poisson superalgebra (Site not responding. Last check: 2007-11-06)
		A supercommutative Poisson algebra is one for which the (associative) product is supercommutative.
		This is one possible way of "super"izing the Poisson algebra.
		The other is to define an antibracket algebra instead.
	nba.servegame.org /en/Poisson_superalgebra.htm (117 words)

	Extension of the Poincaré Symmetry and Its Field Theoretical Implementation
		We define a new algebraic extension of the Poincaré symmetry; this algebra is used to implement a field theoretical model.
		Lie algebras of order 3 and their application to cubic supersymmetry, hep-th/0509174.
		Moultaka G., Rausch de Traubenberg M., Tanasa A., Non-trivial extension of the Poincaré algebra for antisymmetric gauge fields, Contribution to the XI-th International Conference "Symmetry Methods in Physics" (June 21-24, 2004, Prague), hep-th/0407168.
	www.imath.kiev.ua /~sigma/2006/Paper056 (681 words)

	Memorandum 1641, Abstract (Site not responding. Last check: 2007-11-06)
		In a coordinate-free way, we relate these operators to variational multivectors, for which we introduce and compute the variational Poisson and Schouten brackets by means of a unifying algebraic scheme.
		We give a geometric definition of the algebra of multilocal functionals and prove that local variational differential operators are well defined on this algebra.
		To achieve this, we obtain some analytical results on the calculus of variations in smooth vector bundles, which may be of independent interest.
	www.math.utwente.nl /publications/2002/1641abs.html (147 words)

	Canonical quantization and covariance
		algebra of GR, provided that we use a covariant formalism.
		mess; it is an open algebra rather than an honest Lie algebra, it singles
		This does not mean that the 4-diffeo algebra is easily understood; on the
	physicsforums.com /showthread.php?t=136138 (2209 words)

	References > B
		w J Dolan "Higher-dimensional algebra and topological quantum field theory" JMP 36 (1995) 6073-6105.
		"Intrinsic algebraic characterization of space-time structure" IJTP 33 (1994) 1797-1809 [>st].
		et al "Algebraic structure of gravity in Ashtekar's variables" PRD 51 (1995) 2792-2800 [>brst].
	www.phy.olemiss.edu /~luca/Refs/b.html (12340 words)

	Journal Club Winter 2004
		In this lecture I would like to present the concepts of gauge symmetry and BRST invariance from a classical Lagrangian point of view.
		Thus we find a geometric picture quite analogous to a Hamiltonian description of gauge theories with first class constraints.
		Motivated by this analogy, we attempt a description of the theory's observables in terms of cohomology classes of a Lagrangian BRST differential, acting on a suitably defined grassmann algebra of functions on the covariant phase space.
	www.physics.ucsb.edu /~journal_club/W04.htm (655 words)

	DC MetaData for: How to Quantize Antibracket (Site not responding. Last check: 2007-11-06)
		quantization) of the Poisson algebra in the Fock space coincides with
		the simplest space on which the Lie algebra of commutation relations
		This coincidence is not necessary for Lie superalgebras.
	www.esi.ac.at /Preprint-shadows/esi875.html (117 words)

	Literature (Site not responding. Last check: 2007-11-06)
		Finite and Infinite W Algebras and their Applications.
		Introduction to Vertex Algebras, Borcherds Algebras, and the Monster Lie Algebra.
		On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective.
	thsun1.jinr.ru /~alvladim/lit.html (643 words)

	Poisson algebra (Site not responding. Last check: 2007-11-06)
		A Poisson algebra is an associative algebra together with a Lie bracket, satisfying Leibniz' law.
		More precisely, a Poisson algebra is a vector space over a field K equipped with two bilinear products,
		# If A is a noncommutative associative algebra, then the commutator [x,y]≡xy-yx turns it into a Poisson algebra.
	poisson-algebra.kiwiki.homeip.net (271 words)

	XIth Oporto meeting on geometry, topology and physics: Courses
		Informally, Secondary Calculus may be viewed as Primary (="usual") Calculus respecting underlying geometrical structures on diffieties.
		Vinogradov, Geometry of Jet Spaces and Nonlinear Differential Equations, Advanced Studies in Contemporary Mathematics, 1 (1986), Gordon and Breach, New York, London.
		J. Krasil'shchik and A. Verbovetsky, Homological methods in equations of mathematical physics, Advanced Texts in Mathematics, Open Education & Sciences, Opava, 1998, Diffiety Inst.
	diffiety.org /students/special/oporto.htm (764 words)

	Adv in Appl. Clif. Alg. Vol. 6 No. 1 June 1996
		, Gerald Harnett, On the 2-cocycles of the Galilei lie algebra
		, Jaime Keller, Clifford algebra and the construction of a theory of elementary particle fields
		, Mico Durdevic and Zbigniew Oziewicz, Clifford Algebras and Spinors in Braided Geometry
	clifford-algebras.org /v4/4S1/conte4S1.htm (668 words)

	eprintweb - Author Index Sardanashvily, hep-th archive
		Batalin, I. and Vilkoviski, G.: Closure of the gauge algebra, generalized Lie algebra equations and Feynman rules.
		Fulp, R., Lada, T. and Stasheff, J.: Sh-Lie algebras induced by gauge transformations.
		Gomis, J., Par\'i s, J. and Samuel, S.: Antibracket, antifields and gauge theory quantization.
	eprintweb.org /S/authors/hep-th/sa/Sardanashvily/10/refs (446 words)

	Books (Latin w) (Site not responding. Last check: 2007-11-06)
		Witten E. A note on the antibracket formalism.
		Witten E., Olive D. Supersymmetry algebras that include topological charges.
		Wong K.C. The radical of the restricted universal enveloping algebra of A_1.
	www.mccme.ru /ium/books/bw.html (1048 words)

	hep-th/0512327 \| Physics Comments (Site not responding. Last check: 2007-11-06)
		-covariance of a theory and determines the gauge algebra by relations for proper eigenvectors in Eqs.
		The above gauge algebra for reducible hypergauges is encoded by a gauge-fixing action
		[math/0610949] A free differential Lie algebra for the interval
	www.physcomments.org /node/432 (1170 words)

	Homepage of Folkert Müller-Hoissen
		"Algebraic identities associated with KP and AKNS hierarchies"
		"An algebraic scheme associated with the noncommutative KP hierarchy and some of its extensions"
		(with A. Dimakis), hep-th/9401151, in: Proceedings of the XXII International Conference on Differential Geometric Methods in Theoretical Physics, Ixtapa, Mexico, Sept. 1993, published in: Advances in Applied Clifford Algebras (Proc.
	wwwuser.gwdg.de /~fmuelle/index.php?navi=publ (865 words)

	resume.html
		3.Vectorfields on quantum groups, and their q-Lie algebra.
		-J.Gomis, J.Paris and S.Samuel, "Antibracket, antifields and gauge theory quantization";
		Elementary particles as irreducible representations of the isometry group
	www.ulb.ac.be /sciences/ptm/pmif/Rencontres/ModaveII/lecturesII.html (152 words)

	related to mp_arc 92-3 (Site not responding. Last check: 2007-11-06)
		String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras (27K, amstex) Jun 3, 92
		Graded Symplectic Algebras and Magnetic Hamiltonians (484K, Postscript) Mar 12, 01
		96-448 Verch R. Continuity of symplectically adjoint maps and the algebraic structure of Hadamard vacuum representations for quantum fields on curved spacetime (134K, LaTex) Sep 27, 96
	www.maia.ub.es /cgi-bin/mps?key=92-3 (540 words)

	hep-th preprints for 9509 (Site not responding. Last check: 2007-11-06)
		9509007 - Twisted algebra R-matrices and S-matrices for $b_n^{(1)}$ affine Toda solitons and their bound states - by G.M. Gandenberger, N.J. MacKay and G.M.T. Watts - (21 p) - Show Abstract - Show Paper
		9509031 - Free Differential Algebras: Their Use in Field Theory and Dual Formulation - by Leonardo Castellani and Alberto Perotto - (10 p) - Show Abstract - Show Paper
		9509119 - The W_3 algebra: modules, semi-infinite cohomology and BV-algebras - by Peter Bouwknegt, Jim McCarthy and Krzysztof Pilch - (144 p) - Show Abstract - Show Paper - Show fig1.
	www.thphys.uni-heidelberg.de /hep-th/9509.html (4526 words)

	mp_arc index-95
		On the connection between continuous Hahn polynomials and the Heisenberg algebra (14K, latex) Apr 6, 95
		The spectral gap of the ferromagnetic XXZ chain (56K, LaTeX) Dec 15, 95
		Irreducible representations of the Heisenberg algebra in Krein spaces (49K, TeX) Dec 16, 95
	www.ma.utexas.edu /mp_arc/index-95.html (3918 words)

	INDEX TO THE NET ADVANCE OF PHYSICS
		Abrikosov Vortices; Accelerators; Adsorption; Aharonov-Bohm Effect; Analyticity; Antennae; Antibracket Formalism; Antiferromagnetism; Anyons; Ashtekar Variables; Asymptotic Freedom; Atiyah-Singer Theorem; Atomic Orbitals; Axions
		Galactic Dark Matter; Galaxies; Gamma-Ray Bursts; Gas Clouds; Gauge Bosons; General Relativity; Geodesy; Geometric Algebra; Geophysics; Globular Clusters; Goldstone's Theorem; Graph Theory; Gravitation; Gravitational Radiation; Green's Function; Group Theory; Gyromagnetic Effects
		Hodge Theory; Homodyne; Homotopy; Hopf Algebra; Hopf Invariant; Hopping; Hot Dark Matter; Hubbard Model; Hysteresis
	www.hallym.ac.kr /~physics/education/lecture/netadv/alpha.html (442 words)

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