搜索结果: 121-135 共查到“数学 algebras”相关记录401条 . 查询时间(0.047 秒)
Integral Bases for the Universal Enveloping Algebras of Map Algebras
the Universal Enveloping Algebras Map Algebras Integral Bases Representation Theory
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2011/8/26
Abstract: Given a finite-dimensional, complex simple Lie algebra we exhibit an integral form for the universal enveloping algebra of its map algebra, and an explicit integral basis for this integral f...
Solution algebras of differential equations and quasi-homogeneous varieties
solution algebra differential algebra differential Galois group observable subgroup geometric invariant theory quasi-homogeneous variety
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2011/8/26
Abstract: We develop a new connection between Differential Algebra and Geometric Invariant Theory, based on an anti-equivalence of categories between solution algebras associated to a linear different...
Poisson algebras and Jacobi pairs
Poisson algebras Jacobian conjecture Jacobi pairs
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2011/8/26
Abstract: We define a Poisson algebra structure $(P,[\cdot,\cdot],\cdot)$ on the space $P:=\C[y]((x^{\frac1N}))$, and study its properties. In particular, we introduce some automorphisms of $(P,[\cdot...
Gradings on walled Brauer algebras and Khovanov's arc algebra
walled Brauer algebras Khovanov's arc algebra Gradings
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2011/8/25
Abstract: We introduce some graded versions of the walled Brauer algebra, working over a field of characteristic zero. This allows us to prove that the walled Brauer algebra is Morita equivalent to an...
The Douglas property for multiplier algebras of operators
corona theorem, reproducing kernels Functional Analysis
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2011/8/25
Abstract: For a collection of reproducing kernels k which includes those for the Hardy space of the polydisk and ball and for the Bergman space, k is a complete Pick kernel if and only if the multipli...
Lie algebras and Yang-Baxter equations
Lie algebras Yang-Baxter equations Quantum Algebra
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2011/8/25
Abstract: At the previous congress (CRM 6), we reviewed the construction of Yang-Baxter operators from associative algebras, and presented some (colored) bialgebras and Yang-Baxter systems related to ...
New Irreducible Modules for Heisenberg and Affine Lie Algebras
Irreducible Modules Heisenberg Affine Lie Algebras
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2011/8/25
Abstract: We study $\mathbb Z$-graded modules of nonzero level with arbitrary weight multiplicities over Heisenberg Lie algebras and the associated generalized loop modules over affine Kac-Moody Lie a...
Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra $gc_1$
Lie conformal algebras filtered algebras general conformal algebras second cohomology groups
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2011/8/25
Abstract: Let $G$ be a filtered Lie conformal algebra whose associated graded conformal algebra is isomorphic to that of general conformal algebra $gc_1$. In this paper, we prove that $G\cong gc_1$ or...
Twisted Frobenius-Schur indicators for Hopf algebras
semisimple Hopf algebra character Frobenius–Schur indicator automorphism
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2011/8/25
Abstract: The classical Frobenius-Schur indicators for finite groups are character sums defined for any representation and any integer m greater or equal to 2. In the familiar case m=2, the Frobenius-...
A remarkable contraction of semisimple Lie algebras
Inonu-Wigner contraction coadjoint representation algebra of invariants orbit
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2011/8/25
Abstract: Recently, E.Feigin introduced a very interesting contraction $\mathfrak q$ of a semisimple Lie algebra $\mathfrak g$ (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these non-reduct...
Universal equivalence of partially commutative metabelian Lie algebras
Lie algebras Universal equivalence Rings and Algebras
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2011/8/23
Abstract: In this paper, we find a criterium for universal equivalence of partially commutative Lie algebras whose defining graphs are trees. Besides, we obtain bases for partially commutative metabel...
Representations of Rational Cherednik Algebras in Positive Characteristic
Rational Cherednik Algebras Positive Characteristic Representation Theory
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2011/8/24
Abstract: We study rational Cherednik algebras over an algebraically closed field of positive characteristic. We first prove several general results about category O, and then focus on rational Chered...
Stratifications of derived categories from tilting modules over tame hereditary algebras
Adele ring Recollement Stratification Tame hereditary algebra Tilting module Universal localization
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2011/8/24
Abstract: n this paper, we consider the endomorphism algebras of infinitely generated tilting modules of the form $R_{\mathcal U}\oplus R_{\mathcal U}/R$ over tame hereditary $k$-algebras $R$ with $k$...
C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius
C*-algebras the weak expectation property Ando's theorem the numerical radius
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2011/8/23
Abstract: A classic theorem of T. Ando characterises operators that have numerical radius at most one as operators that admit a certain positive 2x2 operator matrix completion. In this paper we consid...
Koszul duality of affine Kac-Moody algebras and cyclotomic rational DAHA
Koszul duality affine Kac-Moody algebras cyclotomic rational DAHA
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2011/8/22
Abstract: We give a proof of the parabolic/singular Koszul duality for the category O of affine Kac-Moody algebras. The main new tool is a relation between moment graphs and finite codimensional affin...