搜索结果: 151-165 共查到“理学 Algebra”相关记录232条 . 查询时间(0.056 秒)
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.
Four twisted differential operators for the N=4 superconformal algebra
Four twisted differential operators N=4 superconformal algebra
2010/12/16
The N = 4, d = 4 Yang–Mills conformal supersymmetry exhibits a very simple sub-sector adescribed by four differential operators. The invariance under this subalgebra is big enough to determine the N =...
Abelian subalgebras and the Jordan structure of a von Neumann algebra
von Neumann algebra Jordan structure abelian subalgebra orthomodular lattice
2010/12/13
For von Neumann algebrasM,N without type I2 summands, we show that for an orderisomorphism
f : AbSub M → AbSub N between the posets of abelian von Neumann-subalgebras of M and N, there is a unique Jo...
Abelian subalgebras and the Jordan structure of a von Neumann algebra
von Neumann algebra Jordan structure abelian subalgebra orthomodular lattice
2010/10/27
For von Neumann algebrasM,N without type I2 summands, we show that for an orderisomorphism
f : AbSub M → AbSub N between the posets of abelian von Neumann-subalgebras of M and N, there is a unique Jo...
Weight function for the quantum affine algebra $U_q(A_2^{(2)})$
Weight function quantum affine algebra $U_q(A_2^{(2)})$
2010/12/3
In this article, we give an explicit formula for the universal weight function of the quantum
twisted affine algebra Uq(A(2)2 ). The calculations use the technique of projecting products of
Drinfeld...
Three realizations of quantum affine algebra $U_q(A_2^{(2)})$
Three realizations quantum affine algebra $U_q(A_2^{(2)})$
2010/12/3
We establish explicit isomorphisms between three realizations of the quantum twisted affine algebra Uq(A(2)2 ): the Drinfeld (“current”) realization, the Chevalley realization, and
the so-called RLL ...
An extension of the disc Algebra
Disc Algebra Mergelyan’s Theorem chordal metric polyno-mial approximation generic property
2010/12/14
We identify all uniform limits of polynomials on the closed unit disc D with respect to the chordal metric on C ∪ {∞}. One such limit is f ≡ ∞. The other limits are holomorphic functions f : D → C s...
An $E_8$-approach to the moonshine vertex operator algebra
$E_8$-approach moonshine vertex operator algebra
2010/12/13
In this article, we study the moonshine vertex operator algebra starting with the
tensor product of three copies of the vertex operator algebra V + √2E8 , and describe it by
the quadratic space over...