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Multiple Dirichlet Series, L-functions and Automorphic Forms pp 119–130Cite as

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Littelmann Patterns and Weyl Group Multiple Dirichlet Series of Type D

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Part of the book series: Progress in Mathematics ((PM,volume 300))

Abstract

We formulate a conjecture for the local parts of Weyl group multiple Dirichlet series attached to root systems of type D. Our conjecture is analogous to the description of the local parts of type A series given by Brubaker et al. (Ann. of Math. 166(1):293–316, 2007) in terms of Gelfand–Tsetlin patterns. Our conjecture is given in terms of patterns for irreducible representations of even orthogonal Lie algebras developed by Littelmann (Transform. Groups 3(2):145–179, 1998).

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Authors and Affiliations

  1. Department of Mathematics, The City College of New York, New York, NY, 10031, USA

    Gautam Chinta

  2. Department of Mathematics and Statistics, University of Massachusetts, Amherst, NY, 01003, USA

    Paul E. Gunnells

Authors
  1. Gautam Chinta
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  2. Paul E. Gunnells
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Correspondence to Paul E. Gunnells .

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Editors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, 94305-2125, California, USA

    Daniel Bump

  2. , Department of Mathematics, Boston College, Commonwealth Ave. 140, Chestnut Hill, 02467-3806, Massachusetts, USA

    Solomon Friedberg

  3. , Department of Mathematics, Columbia University, Broadway 2990, New York, 10027, New York, USA

    Dorian Goldfeld

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Chinta, G., Gunnells, P.E. (2012). Littelmann Patterns and Weyl Group Multiple Dirichlet Series of Type D . In: Bump, D., Friedberg, S., Goldfeld, D. (eds) Multiple Dirichlet Series, L-functions and Automorphic Forms. Progress in Mathematics, vol 300. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8334-4_5

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