Search Results - "LEMIRE, F. W"
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On modules of bounded multiplicities for the symplectic algebras
Published in Transactions of the American Mathematical Society (01-08-1999)“…Simple infinite dimensional highest weight modules having bounded weight multipicities are classified as submodules of a tensor product. Also, it is shown that…”
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Dominant Weight Multiplicities in Hybrid Characters of B n , C n , F 4, G 2
Published in International journal of theoretical physics (01-11-2015)Get full text
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Note on prime representations of convex polyhedral sets
Published in Journal of optimization theory and applications (01-04-1989)“…Consider a convex polyhedral set represented by a system of linear inequalities. A prime representation of the polyhedron is one that contains no redundant…”
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Dominant Weight Multiplicities in Hybrid Characters of Bn, Cn, F4, G2
Published in International journal of theoretical physics (2015)“…The characters of irreducible finite dimensional representations of compact simple Lie group G are invariant with respect to the action of the Weyl group W ( G…”
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Centralizers of maximal regular subgroups in simple Lie groups and relative congruence classes of representations
Published 30-09-2011“…J. Phys. A: Math. Theor. 44 (2011) 415204 In the paper we present a new, uniform and comprehensive description of centralizers of the maximal regular subgroups…”
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A Structure Theorem for Rings Supporting a Discrete Fourier Transform
Published in SIAM journal on applied mathematics (01-10-1981)“…In this paper we show that finite commutative rings with unity generated by an invertible element can be characterized as certain direct sums of Galois rings…”
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A Classification of Simple Lie Modules Having a 1-Dimensional Weight Space
Published in Transactions of the American Mathematical Society (01-02-1987)Get full text
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Weight Spaces and Irreducible Representations of Simple Lie Algebras
Published in Proceedings of the American Mathematical Society (01-07-1969)Get full text
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Submodule Lattice of Generalized Verma Modules
Published in Communications in algebra (12-01-2003)“…Let be a simple finite dimensional Lie algebra over the complex numbers and let ¯ = 1 ⊕...⊕ k be a regular semisimple subalgebra of with each i being a…”
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A Classification of Simple Lie Modules Having a 1-Dimensional Weight Space
Published in Transactions of the American Mathematical Society (1987)“…Let L denote a simple Lie algebra over the complex numbers. In this paper, we classify and construct all simple L modules which may be infinite dimensional but…”
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Irreducible Representations of Anwith a 1-Dimensional Weight Space
Published in Transactions of the American Mathematical Society (01-10-1982)“…In this paper we classify all irreducible linear representations of the simple Lie algebra Anwhich admit a one-dimensional weight space with respect to some…”
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Irreducible Representations of a Simple Lie Algebra Admitting a One-Dimensional Weight Space
Published in Proceedings of the American Mathematical Society (01-10-1968)Get full text
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Weight Spaces and Irreducible Representations of Simple Lie Algebras
Published in Proceedings of the American Mathematical Society (01-07-1969)Get full text
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14
Irreducible Representations of A n with a 1-Dimensional Weight Space
Published in Transactions of the American Mathematical Society (01-10-1982)Get full text
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Irreducible representations of $A\sb{n}$ with a $1$-dimensional weight space
Published in Transactions of the American Mathematical Society (01-02-1982)Get full text
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