"Birman–Murakami-Wenzl algebra"의 두 판 사이의 차이
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imported>Pythagoras0 잔글 (Pythagoras0 사용자가 Birman-Wenzl-Murakami algebra 문서를 Birman–Murakami-Wenzl algebra 문서로 옮겼습니다.) |
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* has the Hecke algebra of type A as a quotien | * has the Hecke algebra of type A as a quotien | ||
* its specializations play a role in types B,C,D akin to that of the symmetric group in Schur-Weyl duality | * its specializations play a role in types B,C,D akin to that of the symmetric group in Schur-Weyl duality | ||
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| + | ==related items== | ||
| + | * [[Schur-Weyl duality for general linear groups]] | ||
2014년 8월 6일 (수) 21:33 판
introduction
- Birman–Murakami-Wenzl algebra, a deformation of the Brauer algebra.
- has the Hecke algebra of type A as a quotien
- its specializations play a role in types B,C,D akin to that of the symmetric group in Schur-Weyl duality
expositions
- Ariki, Susumu. 2006. “Algebras Arising from Schur-Weyl Type Dualities.” In Proceedings of the 38th Symposium on Ring Theory and Representation Theory, 1–10. Symp. Ring Theory Represent. Theory Organ. Comm., Yamanashi. http://www.ams.org/mathscinet-getitem?mr=2264119.
- Benkart, Georgia. 1996. “Commuting Actions—a Tale of Two Groups.” In Lie Algebras and Their Representations (Seoul, 1995), 194:1–46. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1395593.
- Schüler, Axel. 1993. “The Brauer Algebra and the Birman-Wenzl-Murakami Algebra.” Seminar Sophus Lie 3 (1): 3–11. http://www.heldermann-verlag.de/jlt/jlt03/SCHUELAT.PDF