Results 21 to 30 of about 1,035 (266)
Projective modules over classical Lie algebras of infinite rank in the parabolic category
, 2020 We study the truncation functors and show the existence of projective cover with a finite Verma flag of each irreducible module in parabolic BGG category O over infinite rank Lie algebra of types a, b, c, d. Moreover, O is a Koszul category.
Lam, Ngau,, Chen, Chih-Whi,
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On the regularity conjecture for the cohomology of finite groups [PDF]
, 2008 Non peer ...
Benson, David J., David J. Benson
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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Automorphisms of projective structures
, 2023 International audienceWe study the problem of classifying local projective structures in dimension two having non trivial Lie symmetries. In particular we obtain a classification of flat projective structures having positive dimensional Lie algebra of ...
Loray, Frank, Falla Luza, Maycol
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Linear free divisors and Frobenius manifolds [PDF]
, 2009 We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauß–Manin system associated to these functions, and prove the existence of a primitive and homogenous form.
Mond, David +3 more
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Projective vector fields on exponential -metrics
Mathematics OpenThis paper is devoted to the study of the projective algebra of a certain class of [Formula: see text]-metrics. The projective algebra of a Finsler space is a finite-dimensional Lie algebra with respect to the usual Lie bracket.
Seyedeh Yasaman Sadati, Mehdi Rafie-Rad
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Enveloping algebra annihilators and projection techniques for finite-dimensional cyclic modules of a semisimple Lie algebra [PDF]
Journal of Mathematical Physics, 1984 Some results on the structure of finite-dimensional cyclic modules for a semisimple Lie algebra are presented. Cyclic modules arise naturally in constructing symmetry adapted states of a system using projection. Projecting out states with definite symmetry from an arbitrary state ψ is related to the properties of the cyclic module generated by ψ.
Gould, MD, Edwards, SA
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Geometric Complexity Theory -- Lie Algebraic Methods for Projective Limits of Stable Points
CoRR, 2022 Let $G$ be a connected reductive group acting on a complex vector space $V$ and projective space ${\mathbb P}V$. Let $x\in V$ and ${\cal H}\subseteq {\cal G}$ be the Lie algebra of its stabilizer. Our objective is to understand points $[y]$, and their stabilizers which occur in the vicinity of $[x]$.
Bharat Adsul +2 more
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Higher-dimensional automorphic lie algebras
, 2016 The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan +11 more
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Projection spaces and twisted Lie algebras
, 2022 32 pages. To appear in Contemporary Mathematics.
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