SYMPLECTIC PBW DEGENERATE FLAG VARIETIES; PBW TABLEAUX AND DEFINING EQUATIONS
نویسندگان
چکیده
We define a set of PBW-semistandard tableaux that is in weight preserving bijection with the monomials corresponding to integral points Feigin-Fourier-Littelmann-Vinberg polytope for highest modules symplectic Lie algebra. then show these parametrize bases homogeneous coordinate rings complete original and PBW degenerate flag varieties. From this construction, we provide explicit relations generate defining ideal variety. These consist type A Pl\"ucker linear obtain from De Concini's relations.
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2022
ISSN: ['1531-586X', '1083-4362']
DOI: https://doi.org/10.1007/s00031-022-09725-9