Block triangular bilinear forms and braid group action

被引:1
|
作者
Chekhov, Leonid [1 ]
Mazzocco, Marta [1 ]
机构
[1] VA Steklov Math Inst, Moscow 117333, Russia
来源
关键词
HOMOTOPY-GROUPS; QUANTUM; ALGEBRAS; SPACE;
D O I
10.1090/conm/580/11569
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we review some recent results about a quadratic Poisson algebra structure on the space of bilinear forms on C-N with the property that for any n, m is an element of N such that nm = N, the restriction of the Poisson algebra to the space of bilinear forms with block-upper-triangular matrix composed from blocks of size m x m is Poisson. We give some examples and classify all central elements. We also obtain the braid group action on the Poisson algebra. Finally, we discuss quantisation. All proofs can be found in [1, 2, 3].
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页码:85 / 94
页数:10
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