Quantum field theory and Hopf algebra cohomology

IOP Publishing - Tập 37 Số 22 - Trang 5895-5927 - 2004
Christian Brouder1,2, Bertfried Fauser3, Alessandra Frabetti4, Robert Oeckl5
1IMPMC - Institut de minéralogie et de physique des milieux condensés (Campus Boucicaut 140, rue de Lourmel 75015 - Paris - France)
2LMCP - Laboratoire de minéralogie, cristallographie de Paris (tour 16 - 2ème etg 4 Place Jussieu 75252 PARIS CEDEX 05 - France)
3Fachbereich Physik [Konstanz] (Universitätsstraße 10 D-78464 Konstanz - Germany)
4IGD - Institut Girard Desargues (France)
5CPT - Centre de Physique Théorique - UMR 6207 (Aix-Marseille Université Case 907 13288 Marseille cedex 9 Université de Toulon 83957 La Garde - France)

Tóm tắt

Từ khóa


Tài liệu tham khảo

Eisenbud D, 1995, Commutative Algebra with A View Toward Algebraic Geometry

Drinfel'd V G, 1990, Leningrad Math. J., 1, 1419

10.1103/PhysRev.80.268

10.1103/PhysRev.94.703

Stumpf H, 1994, Composite Particle Dynamics in Quantum Field Theory, 10.1007/978-3-322-83901-5

Fauser B, 2001, J. Phys. A: Math. Gen., 34, 105, 10.1088/0305-4470/34/1/308

Fauser B, 1998, J. Math. Phys., 39, 4928, 10.1063/1.532500

Fauser B, 2002

10.1007/s002200100375

Oeckl R, 2000

10.1016/S0550-3213(00)00281-9

Borcherds R E, 2001, Adv. Stud. Pure Math., 31, 51, 10.2969/aspm/03110051

Borcherds R E, 1998, Topological Field Theory, Primitive Forms and Related Topics, 35, 10.1007/978-1-4612-0705-4_2

Brouder Ch, 2002

Brouder Ch, 2003, Mathematical Physics Research on The Leading Edge

Ablamowicz R Fauser B, 2003

Ablamowicz R Fauser B, 2003

Sweedler M E, 1968, Trans. Am. Math. Soc., 133, 205, 10.1090/S0002-9947-1968-0224684-2

10.1063/1.474405

10.1002/mma.247

Drinfeld V G, 1983, Sov. Math. Dokl., 28, 531

10.1006/aphy.2002.6251

Kassel Ch, 1995, Quantum Groups, 10.1007/978-1-4612-0783-2

Majid S, 1995, Foundations of Quantum Group Theory, 10.1017/CBO9780511613104

Doubilet P, 1974, J. Algebr., 28, 127, 10.1016/0021-8693(74)90027-1

Grosshans F D, 1987, Invariant Theory and Superalgebras, 10.1090/cbms/069

Vein R, 1999, Determinants and Their Applications in Mathematical Physics

Muir Th, 1960, A Treatise on the Theory of Determinants

Laplace P S, 1772, Hist. Acad. R. Sci., 2, 267

Reed M, 1975, Methods of Modern Mathematical Physics: II. Fourier Analysis, Self-Adjointness

Itzykson C, 1980, Quantum Field Theory

Fetter A L, 1971, Quantum Theory of Many-Particle Systems

Weinberg S, 1995, The Quantum Theory of Fields, 10.1017/CBO9781139644167

Ticciati R, 1999, Quantum Field Theory for Mathematicians, 10.1017/CBO9780511526428

Houriet A, 1949, S Helv. Phys. Acta, 22, 319

Gross E K U, 1991, Many-Particle Theory

Brouder Ch J-P Gazeau R Kerner, 2003, Proc. 24th Int. Colloquium on Group Theoretical Methods in Physics

Epstein H, 1973, Ann. Inst. H Poincaré, 19, 211

Brunetti R, 1997, Operator Algebras and Quantum Field Theory, 546

10.1103/PhysRev.82.428

Schwinger J, 1961, J. Math. Phys., 2, 407, 10.1063/1.1703727

Keldysh L V, 1965, Sov. Phys.-JETP, 20, 1018

10.1016/0370-1573(85)90136-X

Dütsch M, 2001, Commun. Math. Phys., 219, 5, 10.1007/PL00005563

Wigner E P, 1959, Group Theory

Sachs R G, 1987, The Physics of Time Reversal

Streater R F, 1964, PCT, Spin & Statistics, and All That

Bratelli O, 1987, Operator Algebras and Quantum Statistical Mechanics 1, 10.1007/978-3-662-02520-8

Milnor J W, 1965, Ann. Math., 81, 211, 10.2307/1970615

10.1007/s002200100540

Brouder Ch, 2003

Brouder Ch, 2003

Kreimer D, 1999, Adv. Theor. Math. Phys., 3, 627, 10.4310/ATMP.1999.v3.n3.a7

10.1007/s002200050779

10.1023/A:1010851025400

10.1016/S0370-2693(00)00051-4

Brouder Ch Schmitt B, 2003

Fauser B, 2004, J. Phys. A: Math. Gen., 37, 1633, 10.1088/0305-4470/37/5/012

Sweedler M E, 1969, Hopf Algebras

Pittner L, 1996, Algebraic Foundations of Non-Commutative Differential Geometry and Quantum Groups, 10.1007/978-3-540-47801-0

Haag R, 1996, Local Quantum Physics, 10.1007/978-3-642-61458-3

Bratelli O, 1997, Operator Algebras and Quantum Statistical Mechanics 2, 10.1007/978-3-662-03444-6

Steinmann O, 2000, Perturbative Quantum Electrodynamics and Axiomatic Field Theory, 10.1007/978-3-662-04297-7

Cartier P, 2002, Multiple Facets of Quantization and Supersymmetry

Pittner L, 1995, J. Math. Phys., 36, 944, 10.1063/1.531167