Positive Jantzen sum formulas for cyclotomic Hecke algebras
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DOI: 10.1007/s00209-021-02957-7
Abstract: This paper proves a “positive” Jantzen sum formula for the Specht modules of the cyclotomic Hecke algebras of type A and uses it to obtain new bounds on decomposition numbers. Quite remarkably, our results are proved… read more here.
Keywords: sum; jantzen sum; hecke algebras; sum formula ... See more keywords
Generalized connected sum formula for the Arnold invariants of generic plane curves
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DOI: 10.1016/j.topol.2018.12.010
Abstract: Abstract We define the generalized connected sum for generic closed plane curves, generalizing the strange sum defined by Arnold, and completely describe how the Arnold invariants J ± and St behave under the generalized connected… read more here.
Keywords: generalized connected; sum formula; arnold invariants; plane curves ... See more keywords
ON A GENERALISATION OF A RESTRICTED SUM FORMULA FOR MULTIPLE ZETA VALUES AND FINITE MULTIPLE ZETA VALUES
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DOI: 10.1017/s0004972719000790
Abstract: We prove a new linear relation for multiple zeta values. This is a natural generalisation of the restricted sum formula proved by Eie, Liaw and Ong. We also present an analogous result for finite multiple… read more here.
Keywords: zeta values; multiple zeta; restricted sum; generalisation restricted ... See more keywords