Generators of the Hecke algebra of (S-2n, B-n)

Date

2012-12-01

Author

Aker, Kursat
Can, Mahir Bilen

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In analogy with the set of Jucys-Murphy elements, a set of ring generators for the Hecke algebra of the Gel' fand pair (S-2n, B-n), where B-n is the hyperoctahedral subgroup of the symmetric group S-2n is constructed. Various consequences are presented, a conjecture of S. Matsumoto is proven. (c) 2012 Elsevier Inc. All rights reserved.

Subject Keywords

Hecke algebra, Farahat Higman ring, Jucys-Murphy elements, Symmetric pair (S-2n, B-n), Cohomology of Hilbert scheme of points

URI

https://hdl.handle.net/11511/64530

Journal

ADVANCES IN MATHEMATICS

DOI

https://doi.org/10.1016/j.aim.2012.07.023

Collections

Department of Mathematics, Article

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Citation Formats

K. Aker and M. B. Can, “Generators of the Hecke algebra of (S-2n, B-n),” ADVANCES IN MATHEMATICS, pp. 2465–2483, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64530.