搜索结果: 46-60 共查到“理学 Algebra”相关记录232条 . 查询时间(0.105 秒)
Abstract: We give the full structure of the Ext algebra of a Nichols algebra of type $A_2$ by using the Hochschild-Serre spectral sequence. As an application, we show that the pointed Hopf algebras $u...
Abstract: We discuss the formal aspects of the factorial polynomials and of the associated series. We develop the theory using the formalism of quasi-monomials and prove the usefulness of the method f...
Esparsidade, Estrutura, Escalamento e Estabilidade em Algebra Linear Computacional
Algebra Linear Computacional Computation
2011/9/21
Abstract: Sparsity, Structure, Scaling and Stability in Computational Linear Algebra - Textbook from the IX School of Computer Science, held on July 24-31 of 1994 at Recife, Brazil. Esparsidade, Estru...
Abelianizations of derivation Lie algebras of free associative algebra and free Lie algebra
moduli space of curves Lie algebra homology graph homology derivation
2011/9/14
Abstract: We determine the abelianizations of the following three kinds of graded Lie algebras in a certain stable range: derivations of the free associative algebra, derivations of the free Lie algeb...
Expansion of $k$-Schur functions for maximal $k$-rectangles within the affine nilCoxeter algebra
$k$-Schur functions $k$-rectangles affine nilCoxeter algebra Combinatorics
2011/9/14
Abstract: We give several explicit combinatorial formulas for the expansion of $k$-Schur functions indexed by maximal $k$-rectangles, $s_R^{(k)}$, in terms of the standard basis of the affine nilCoxet...
Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds
Sobolev spaces Riemannian manifold algebra rule paraproducts heat semigroup
2011/9/15
Abstract: In this work, we aim to prove algebra properties for generalized Sobolev spaces $W^{s,p} \cap L^\infty$ on a Riemannian manifold, where $W^{s,p}$ is of Bessel-type $W^{s,p}:=(1+L)^{-s/m}(L^p...
Self-adjoint commuting differential operators and commutative subalgebras of the Weyl algebra
Self-adjoint commuting differential operators commutative subalgebras the Weyl algebra Mathematical Physics
2011/9/13
Abstract: In this paper we give enough conditions when the operator of the fourth order included in a commutative ring of ordinary differential operators of rank 2 is formally self-adjoint. In the cas...
The universal Askey-Wilson algebra and the equitable presentation of $U_q(\mathfrak{sl}_2)$
Askey-Wilson relations Leonard pair Casimir element
2011/9/14
Abstract: Let $F$ denote a field, and fix a nonzero $q \in F$ such that $q^4\not=1$. The universal Askey-Wilson algebra is the associative $F$-algebra $\Delta=\Delta_q$ defined by generators and relat...
Noise as a Boolean algebra of sigma-fields. I. Completion
Noise Boolean algebra of sigma-fields Probability
2011/9/9
Abstract: Nonclassical noises over the plane (such as the black noise of percolation) consist of sigma-fields corresponding to some planar domains. One can treat less regular domains as limits of more...
(p,q) D=3 Poincare supergravities from Lie algebra expansions
Lie algebra expansions High Energy Physics - Theory
2011/10/8
Abstract: We use the expansion of superalgebras procedure (summarized in the text) to derive Chern-Simons (CS) actions for the (p,q)-Poincare supergravities in three-dimensional spacetime. After deriv...
The algebra of local unitary invariants of identical particles
algebra identical particles Quantum Physics
2011/10/8
Abstract: We investigate the properties of the inverse limit of the algebras of local unitary invariant polynomials of quantum systems containing various types of fermionic and/or bosonic particles as...
The generic representation theory of the Juyumaya algebra of braids and ties
generic representation theory Juyumaya algebra braids and ties
2011/8/29
Abstract: In this paper we determine the complex generic representation theory of the Juyumaya algebra. We show that a certain specialization of this algebra is isomorphic to the small ramified partit...
Linear algebra and bootstrap percolation
Bootstrap percolation linear algebra weak saturation
2011/8/29
Abstract: In $\HH$-bootstrap percolation, a set $A \subset [n]$ of initially `infected' vertices spreads by infecting vertices which are the only uninfected vertex in an edge of the hypergraph $\HH \s...
Linear Mappings of Quaternion Algebra
Linear Mappings Quaternion Algebra Rings and Algebras
2011/8/26
Abstract: In the paper I considered linear and antilinear automorphisms of quaternion algebra. I proved the theorem that there is unique expansion of R-linear mapping of quaternion algebra relative to...
Gradings on walled Brauer algebras and Khovanov's arc algebra
walled Brauer algebras Khovanov's arc algebra Gradings
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...