Schur–Weyl reciprocity between quantum groups and Hecke algebras of type G(p,p,n)
作者： Jun Hu , Toshiaki Shoji
DOI: 10.1016/J.JALGEBRA.2005.06.008
关键词: Hecke algebra 、 Mathematics 、 Group algebra 、 Filtered algebra 、 Quantum group 、 Cellular algebra 、 Combinatorics 、 Automorphism 、 Cyclic group 、 Pure mathematics 、 Universal enveloping algebra
摘要: Abstract Let U q ( gl m ⊕ p ) be the quantized universal enveloping algebra of . θ automorphism which is defined on generators by E i ↦ − , F K j for any ∈ Z / ∖ { 0 ¯ … 1 } and H n Hecke type G with parameters e where a primitive pth root unity. In this paper we establish Schur–Weyl reciprocity between twisted tensor product group 〈 〉 (a cyclic order p) using results in [J. Hu, J. Algebra 274 (2004) 446–490].
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