Standard monomial bases and geometric consequences for certain rings of invariants
نویسندگان
چکیده
منابع مشابه
New Algorithm For Computing Secondary Invariants of Invariant Rings of Monomial Groups
In this paper, a new algorithm for computing secondary invariants of invariant rings of monomial groups is presented. The main idea is to compute simultaneously a truncated SAGBI-G basis and the standard invariants of the ideal generated by the set of primary invariants. The advantage of the presented algorithm lies in the fact that it is well-suited to complexity analysis and very easy to i...
متن کاملSagbi Bases in Rings of Multiplicative Invariants
Let k be a field and G be a finite subgroup of GLn(Z). We show that the ring of multiplicative invariants k[x±1 1 , . . . , x ±1 n ] G has a finite SAGBI basis if and only if G is generated by reflections.
متن کاملA Geometric Approach to Standard Monomial Theory
We obtain a geometric construction of a “standard monomial basis” for the homogeneous coordinate ring associated with any ample line bundle on any flag variety. This basis is compatible with Schubert varieties, opposite Schubert varieties, and unions of intersections of these varieties. Our approach relies on vanishing theorems and a degeneration of the diagonal; it also yields a standard monom...
متن کاملOn Certain Monomial Sequences
We give equivalent conditions for a monomial sequence to be a dsequence or a proper sequence, and a sufficient condition for a monomial sequence to be an s-sequence in order to compute invariants of the symmetric algebra of the ideal generated by it.
متن کاملKrs Bases for Rings of Invariants and for Endomorphism Spaces of Irreducible Modules
From the combinatorial characterizations of the right, left, and two-sided Kazhdan-Lusztig cells of the symmetric group, ‘KRS bases’ are constructed for certain quotients by two-sided ideals of the group ring and the Hecke algebra. Applications to invariant theory of the general linear group and representation theory of the symmetric group are discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Indian Academy of Sciences - Section A
سال: 2006
ISSN: 0370-0089
DOI: 10.1007/bf02829736