Results 11 to 20 of about 362 (52)
Finite-dimensional representations of the quantum superalgebra $U_q[gl(n/m)]$ and related q-identities [PDF]
, 1993 Explicit expressions for the generators of the quantum superalgebra $U_q[gl(n/m)]$ acting on a class of irreducible representations are given. The class under consideration consists of all essentially typical representations: for these a Gel'fand-Zetlin ...
A.J. Bracken +36 more
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Outer restricted derivations of nilpotent restricted Lie algebras [PDF]
, 2011 In this paper we prove that every finite-dimensional nilpotent restricted Lie algebra over a field of prime characteristic has an outer restricted derivation whose square is zero unless the restricted Lie algebra is a torus or it is one-dimensional or it
Feldvoss, Jörg +2 more
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Lie algebraic characterization of manifolds [PDF]
, 2003 Results on characterization of manifolds in terms of certain Lie algebras growing on them, especially Lie algebras of differential operators, are reviewed and extended.
Grabowski, Janusz, Poncin, Norbert
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A sufficient condition for a number to be the order of a nonsingular derivation of a Lie algebra
, 2007 A study of the set N_p of positive integers which occur as orders of nonsingular derivations of finite-dimensional non-nilpotent Lie algebras of characteristic p>0 was initiated by Shalev and continued by the present author.
A. Shalev +10 more
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On the hom-associative Weyl algebras
, 2020 The first (associative) Weyl algebra is formally rigid in the classical sense. In this paper, we show that it can however be formally deformed in a nontrivial way when considered as a so-called hom-associative algebra, and that this deformation preserves
Bäck, Per, Richter, Johan
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Bi-quartic parametric polynomial minimal surfaces
, 2015 Minimal surfaces with isothermal parameters admitting B\'{e}zier representation were studied by Cosin and Monterde. They showed that, up to an affine transformation, the Enneper surface is the only bi-cubic isothermal minimal surface.
Kassabov, Ognian, Vlachkova, Krassimira
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The automorphism groups and derivation algebras of two-dimensional algebras
, 2018 The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are described.Comment: A type-mistake in $A_{3,2}(\mathbf{c})$ case, page 4, and its consequences are are ...
Ahmed, H., Bekbaev, U., Rakhimov, I.
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Affine algebraic groups with periodic components
, 2008 A connected component of an affine algebraic group is called periodic if all its elements have finite order. We give a characterization of periodic components in terms of automorphisms with finite number of fixed points.
A. L. Onishchik +10 more
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Vogan diagrams of affine twisted Lie superalgebras
, 2013 A Vogan diagram is a Dynkin diagram with a Cartan involution of twisted affine superlagebras based on maximally compact Cartan subalgebras. This article construct the Vogan diagrams of twisted affine superalgebras.
Ransingh, Biswajit
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6-dimensional product Lie algebras admitting integrable complex structures
, 2017 We classify the 6-dimensional Lie algebras of the form $g\times g$ that admit integrable complex structure. We also endow a Lie algebra of the kind $o(n)\oplus o(n)$ with such a complex structure.
Czarnecki, Andrzej, Sroka, Marcin
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