搜索结果: 121-135 共查到“数学 algebra”相关记录171条 . 查询时间(0.335 秒)
Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of reflection algebra. We give a combinatoria...
A new calculus of planar diagrams involving diagrammatics for biadjoint func-tors and degenerate affine Hecke algebras is introduced. The calculus leads to an additive monoidal category whose Grothend...
Relative homological algebra in categories of representations of infinite quivers
cover envelope torsion free flat representations of a quiver
2010/11/26
In the first part of this paper, we prove the existence of torsion
free covers in the category of representations of quivers, (Q,R-Mod),for a wide class of quivers included in the class of the so-cal...
Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed permutations
Iwahori-Hecke algebras Geck-Rouquier conjugacy classes symmetric functions
2010/12/9
We show the q-analog of a well-known result of Farahat and Higman: in the center of the Iwahori-Hecke algebraHn,q, if (a μ(n, q)) is the set of structure constants involved in the product of two G...
M. Kontsevich's graph complex and the Grothendieck-Teichmueller Lie algebra
Formality Deformation Quantization Operads
2010/12/1
We show that the zeroth cohomology of Kontsevich’s graph complex is isomorphic to the Grothendieck-Teichm¨uller Lie algebra grt. The map is explicitly described.
Extending PT symmetry from Heisenberg algebra to E2 algebra
Extending PT symmetry Heisenberg algebra E2 algebra
2010/12/15
The E2 algebra has three elements, J, u, and v, which satisfy the commutation relations [u; J] = iv, [v; J] = iu, [u; v] = 0. We can construct the Hamiltonian H = J2 +gu, where g is a real p...
We construct a vertex algebra of central charge 26 from a lattice orbifold vertex operator algebra of central charge 12. The BRST-cohomology group of this vertex algebra is a new generalized Kac-Moody...
On the Hall algebra of coherent sheaves on P^1 over F_1
Hall algebra coherent sheaves P^1 over F_1
2010/12/8
Using a model of schemes over F1 in the spirit of Deitmar and Haran, we study the categoryCoh(P1) of coherent sheaves onP1 overF1. This category resembles in most ways a finitary abelian category, but...
Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra
Gr¨obner-Shirshov basis non-associative algebra commutative algebra
2010/11/26
We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbi...
Skew polynomial rings, Groebner bases and the letterplace embedding of the free associative algebra
Skew polynomial rings Free algebras Gr¨obner bases
2010/12/9
In this paper we introduce an algebra embedding : KhXi → S from the free associative algebra KhXi generated by a finite or countable set X into the skew monoid ring S = P ∗ defined by the co...
Intuitionistic Fuzzy Banach Algebra
Intuitionistic fuzzy Banach algebra invertible elements
2010/12/8
Intuitionistic fuzzy Banach algebra is introduced and a few properties of it is studied. The properties of invertible ele-ments and relation among invertible elements, open set, closed
set are emphas...
Weyl groups of fine gradings on matrix algebras, octonions and the Albert algebra
Graded algebra fine grading Weyl group octonions Albert algebra
2010/12/1
Given a grading : A = Lg2G Ag on a nonassociative algebra A by an abelian group G.
Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra
Diagrammatic Kazhdan-Lusztig theory Brauer algebra
2010/12/9
We determine the decomposition numbers for the Brauer and walled Brauer algebra in haracteristic zero in terms of certain polynomials associated to cap and curl diagrams (recovering a result of Martin...
Proper asymptotic unitary equivalence in $\KK$-theory and projection lifting from the corona algebra
KK-theory proper asymtotic unitary equivalence ab-sorbing representation
2010/12/6
In this paper we generalize the notion of essential codimension of Brown, Douglas, and Fillmore using KK-theory and prove a result which asserts that there is a unitary of the
form ‘identity + compac...
Infinite combinatorial issues raised by lifting problems in universal algebra
Algebra congruence variety critical point ladder morass Martin’s
2010/11/30
The critical point between varieties A and B of algebras is defined as the least cardinality of the semilattice of compact congruences of a member of A but of no member of B, if it exists.