Nullcone for the Symplectic Group and Related Combinatorics

نویسنده

  • SANGJIB KIM
چکیده

We study the nullcone for the symplectic group with respect to a joint action of the general linear group and the symplectic group. By extracting an algebra over a distributive lattice structure from the coordinate ring of the nullcone, we describe a toric degeneration and standard monomial theory of the nullcone in terms of double tableaux and integral points in a convex polyhedral cone.

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تاریخ انتشار 2009