<p>Two double sums originating from the Ariki–Koike algebras are evaluated and generalized using a transformation of F. &#xa0;H.&#xa0;Jackson. Two combinatorial approaches to these identities are given, using 2-cores and overpartitions.</p>

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q-Appell functions and Kleshchev 2-multipartitions

  • Runqiao Li,
  • Seunghyun Seo,
  • Dennis Stanton,
  • Ae Ja Yee

摘要

Two double sums originating from the Ariki–Koike algebras are evaluated and generalized using a transformation of F.  H. Jackson. Two combinatorial approaches to these identities are given, using 2-cores and overpartitions.