量子群
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2022/12/22 09:04 UTC 版)
関連項目
関連分野
- リー双代数
- ポアソン・リー群
- アフィン量子群
- 量子アフィン代数
研究者
参考文献
- Grensing, Gerhard (2013). Structural Aspects of Quantum Field Theory and Noncommutative Geometry. World Scientific. ISBN 978-981-4472-69-2
- Jagannathan, R. (2001年). “Some introductory notes on quantum groups, quantum algebras, and their applications”
- Kassel, Christian (1995), Quantum groups, Graduate Texts in Mathematics, 155, Berlin, New York: Springer-Verlag, ISBN 978-0-387-94370-1, MR1321145
- Lusztig, George (2010) [1993]. Introduction to Quantum Groups. Cambridge, MA: Birkhauser. ISBN 978-0-817-64716-2
- Majid, Shahn (2002), A quantum groups primer, London Mathematical Society Lecture Note Series, 292, Cambridge University Press, ISBN 978-0-521-01041-2, MR1904789
- Majid, Shahn (January 2006), “What Is...a Quantum Group?” (PDF), Notices of the American Mathematical Society 53 (1): 30–31 2008年1月16日閲覧。
- Podles, P.; Muller, E. (1997), Introduction to quantum groups, pp. 4002, arXiv:q-alg/9704002, Bibcode: 1997q.alg.....4002P
- Shnider, Steven; Sternberg, Shlomo (1993). Quantum groups: From coalgebras to Drinfeld algebras. Graduate Texts in Mathematical Physics. 2. Cambridge, MA: International Press
- Street, Ross (2007), Quantum groups, Australian Mathematical Society Lecture Series, 19, Cambridge University Press, ISBN 978-0-521-69524-4, MR2294803
- ^ Schwiebert, Christian (1994), Generalized quantum inverse scattering, pp. 12237, arXiv:hep-th/9412237v3, Bibcode: 1994hep.th...12237S
- ^ Majid, Shahn (1988), “Hopf algebras for physics at the Planck scale”, Classical and Quantum Gravity 5 (12): 1587–1607, Bibcode: 1988CQGra...5.1587M, doi:10.1088/0264-9381/5/12/010
- ^ Andruskiewitsch, Schneider: Pointed Hopf algebras, New directions in Hopf algebras, 1–68, Math. Sci. Res. Inst. Publ., 43, Cambridge Univ. Press, Cambridge, 2002.
- ^ Heckenberger: Nichols algebras of diagonal type and arithmetic root systems, Habilitation thesis 2005.
- ^ Heckenberger, Schneider: Root system and Weyl gruppoid for Nichols algebras, 2008.
- ^ Heckenberger, Schneider: Right coideal subalgebras of Nichols algebras and the Duflo order of the Weyl grupoid, 2009.
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