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Details for article 28 of 32 found articles
| Title: |
Schur-Weyl Reciprocity for the q-Analog of the Alternating Group |
| Author: |
Mitsuhashi, Hideo |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 35 (2007) nr. 11 pages 3346-3369 |
| Year: |
2007-11 |
| Contents: |
We establish Schur-Weyl reciprocity for the q-analog of the alternating group. We examine the restriction of the sign q-permutation representation of the Hecke algebra H(q),r(q) on the 2-graded vector space to the q-analog [image omitted] of the alternating group. If the dimension of the even part equals that of the odd part, we find that the centralizer of [image omitted] is a ×-crossed product of the centralizer of H(q),r(q). Moreover, we obtain Schur-Weyl reciprocity in that case. The structure is more complicated otherwise, neverthless we obtain some results. When q = 1, Regev has proven Schur-Weyl reciprocity. Therefore, our result can be regarded as an extension of Regev's work. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 28 of 32 found articles
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