"Birman–Murakami-Wenzl algebra"의 두 판 사이의 차이

2014년 8월 6일 (수) 21:32 판

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

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

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+==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.