منابع مشابه
Quantized Symmetric Powers
Let g = sln(C) be the Lie algebra of n×n matrices over C of trace zero, and let U be the q-analogue of its universal enveloping algebra defined by Drinfel’d [2] and Jimbo [4]. According to [7, 3.5.6, 6.2.3 & 6.3.4], for each dominant weight μ in the weight lattice of g there is an irreducible, finite-dimensional highest weight U -module V (μ) with highest weight μ. Kashiwara [5] and Lusztig [7,...
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We investigate Buchbaum and Eisenbud's construction of the second symmetric power $s_R(X)$ of a chain complex $X$ of modules over a commutative ring $R$. We state and prove a number of results from the folklore of the subject for which we know of no good direct references. We also provide several explicit computations and examples. We use this construction to prove the following vers...
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The importance of generalizing the construction (b) was emphasized by A.N. Parshin [P2-3]. Among other things, he pointed out that all the 4 types of possible combinations of inductive and projective limits of the spaces of measures on m/m have very transparent analytic meaning (Schwartz-Bruhat functions vs. distributions, compact support vs. arbitrary support) and called for a generalization o...
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We study symmetric powers of classes of symmetric bilinear forms in the Witt-Grothendieck ring of a field of characteristic not equal to 2, and derive their basic properties and compute their classical invariants. We relate these to earlier results on exterior powers of such forms. 1991 AMS Subject Classification: 11E04, 11E81
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 1997
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/48.4.479