Decomposition numbers of quantized walled Brauer algebras

作者：Rui, Hebing^*; Song, Linliang

来源：Mathematische Zeitschrift, 2015, 280(3-4): 669-689.

DOI：10.1007/s00209-015-1442-7

• HECKE ALGEBRAS
• REPRESENTATIONS

In this paper, we establish an explicit relationship between decomposition numbers of quantized walled Brauer algebras and those for either Hecke algebras associated to certain symmetric groups or (rational) q-Schur algebras over a field . This enables us to use Ariki's result (J Math Kyoto Univ 36(4):789-808, 1996) and Varagnolo-Vasserot's result (Duke Math J 100(2):267-297, 1999) to compute such decomposition numbers via inverse Kazhdan-Lusztig polynomials associated with extended affine Weyl groups of type if the ground field is C.

• 出版日期2015-8
• 单位华东师范大学; 上海师范大学