Characters of Renner monoids and their Hecke algebras
2020 ◽
Vol 30
(07)
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pp. 1505-1535
Keyword(s):
This paper gives a general algorithm for computing the character table of any Renner monoid Hecke algebra, by adapting and generalizing techniques of Solomon used to study the rook monoid. The character table of the Hecke algebra of the rook monoid (i.e. the Cartan type [Formula: see text] Renner monoid) was computed earlier by Dieng et al. [2], using different methods. Our approach uses analogues of so-called A- and B-matrices of Solomon. In addition to the algorithm, we give explicit combinatorial formulas for the A- and B-matrices in Cartan type [Formula: see text] and use them to obtain an explicit description of the character table for the type [Formula: see text] Renner monoid Hecke algebra.
2010 ◽
Vol 20
(06)
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pp. 793-805
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2018 ◽
Vol 21
(03)
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pp. 1850015
2008 ◽
Vol 18
(05)
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pp. 837-852
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1998 ◽
Vol 50
(1)
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pp. 167-192
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2018 ◽
Vol 371
(6)
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pp. 3877-3916
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2018 ◽
Vol 17
(06)
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pp. 1850113
Keyword(s):
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2015 ◽
Vol 16
(2)
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pp. 351-419
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