Gl Theory
Mostrando 13-16 de 16 artigos, teses e dissertações.
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13. Fourier Analysis on GL(n,R)
Two problems of Fourier analysis on GL(n,R) are studied. The first concerns the decomposition of the additive Fourier operator in terms of the group representation theory of G. The second concerns the analytic continuation of certain zeta-functions defined on G. It is found that the generalized Gamma functions of Gelfand and Graev arise naturally in the solu
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14. Hilbert series, Howe duality, and branching rules
Let λ be a partition, with l parts, and let Fλ be the irreducible finite dimensional representation of GL(m) associated to λ when l ≤ m. The Littlewood Restriction Rule describes how Fλ decomposes when restricted to the orthogonal group O(m) or to the symplectic group Sp(m/2) under the condition that l ≤ m/2. In this paper, this result is extended to
The National Academy of Sciences.
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15. Bialgebra cohomology, deformations, and quantum groups.
We introduce cohomology and deformation theories for a bialgebra A (over a commutative unital ring k) such that the second cohomology group is the space of infinitesimal deformations. Our theory gives a natural identification between the underlying k-modules of the original and the deformed bialgebra. Certain explicit deformation formulas are given for the c
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16. The structure of a class of finite ramified coverings and canonical forms of analytic matrix-functions in a neighborhood of a ramified turning point
Let X be the germ of a complex- or real-analytic manifold M at a point xo ∈ M, or the henselian germ of an algebraic manifold M over a field k of characteristic zero at a point xo ∈ M(k), D ⊂ X a divisor. Under some assumptions on D and its singularities we give a description of the structure, the singularities, and the divisor class group of all finit
The National Academy of Sciences.