SCHUR ALGEBRAS
On the blocks of semisimple algebraic groups and associated generalized Schur algebras
... Generalized Schur algebras were introduced by Donkin in [2]. We briefly recall their contruction here. We say that a subset π of X + is saturated if whenever λ ∈ π and µ ↑ λ we have µ ∈ π. Let π ⊆ X + be a ...
16
On the blocks of the infinitesimal Schur algebras
... dimensional algebras, the infinitesimal Schur ...these algebras when n = 2, which extends a result in [9] where the blocks were determined in the case n = 2 and r = ...infinitesimal Schur ...
25
Filtrations in Rouquier blocks of symmetric groups and Schur algebras
... In this paper we use the Morita equivalences of [2] to give a de- tailed account, in terms of explicit descriptions of radical filtrations of distinguished modules, of Rouquier’s blocks of symmetric groups and the ...
26
Homological properties of quantised Borel-Schur algebras and resolutions of quantised Weyl modules
... Borel-Schur algebras, we take this opportunity to put on record the quantised version of [Woo97, Theorem 7] giving that, for homogeneous polynomial B(n)-modules, the extension groups Ext i (V, X) are the ...
38
Schatten's theorems on functionally defined Schur algebras
... We consider in this section an analogue of compact and trace-class operators on a Hilbert space, in the Schur algebras considered in the preceding sections. Analogues of Schatten’s trace duality theorems ...
19
On certain blocks of Schur algebras
... Abstract. In this paper, we use what is known about defect 2 blocks of symmetric groups to deduce information on corresponding blocks of Schur algebras. This information includes Ext-quivers, decomposition ...
12
Schur algebras, combinatorics, and cohomology
... the Schur algebra associated with n and f ...f algebras (analogues o f the Schur algebras for arbitrary reductive groups), using the machinery o f good ...generalized Schur ...
119
Schur Algebras over C* Algebras
... plete (as a space of bounded linear functionals on Ꮽ), and each selfadjoint a ∈ Ꮽ also has a = sup ϕ ∈ s(Ꮽ) ϕ ( a ), what holds true for r ( Ꮽ ) defined previously holds for this new setting. We will show that the ...
15
Homomorphisms and Higher Extensions for Schur algebras and symmetric groups
... The majority of this paper is concerned with the Ext-groups corresponding to pairs of induced (or Weyl) modules for the algebraic/quantum group, and to pairs of Specht modules for the symmetric group/Hecke algebra. In ...
20
q Schur algebras and quantized enveloping algebras
... The v-Schur algebra as a subspace of tensor matrix space We have seen in the above sections that the classical Schur algebra Sn, r embeds in T"Mn in a natural way compatible with the U-m[r] ...
133
Some subalgebras of the Schur algebra
... W e begin in Chapter 1 by introducing some basic material which will be used in the following chapters. Sections 1 and 2 contain notation and elementary results. In §3 we use the method o f [G2; §31 to determine bases o ...
164
The generalized path algebras over standardly stratified algebras
... Quasi-hereditary algebras and their generalizations such as stan- dardly stratified algebras were first introduced by Cline, Parshall and Scott [2] [3] in order to study highest weight categories in the ...
8
Fundamental hoop-algebras
... Hypersructure theory was introduced in 1934[15], by Marty. Some fields of applications of the mentioned structures are lattices, graphs, coding, ordered sets, median algebra, automata, and cryptography[9]. Many ...
16
\((G,\phi)\)-crossed product on \((G,\phi)\)-quasiassociative algebras
... φ)-quasiassociative algebras, so of (G, φ)-crossed products, are twisted group algebras K F G (see ...of algebras since we will pay special attention to them in this ...
25
The Dual B-Algebra
... The following results present the relationship between a commutative dual B-algebra and some algebras, namely, CI -algebra and dual BCI -algebra. Comparing the axioms and properties of commutative dual B -algebra, ...
11
Leibniz A algebras
... Proof. Suppose that L (n+1) = 0 but L (n) 6= 0. First we show that L splits over L (n) . Clearly we can assume that n ≥ 1. Let C be a Cartan subalgebra of L (n−1) (this exists in any solvable Leibniz algebra: the proof ...
21
Hilbert algebras in commutative BCK algebras and ideal
... then H , ,1 is a Hilbert Algebras in BCK-algebras， {1,2} is an ideal，but it not a commutative ideal Theorem 2.3 A commutative ideal of a Hilbert Algebras in BCK-algebras must be an ide[r] ...
6
A Generalization of Hyperbolic Special Mean and its Schur Power Convexity
... Keywords: Hyperbolic function; Schur convexity; Schur power convexity AMS Mathematics Subject Classification (2010): 52A551. In 2003, American mathematical monthly, problem 11031, propo[r] ...
8
Schur convexity of dual form of some symmetric functions
... Abstract By the properties of a Schur-convex function, Schur-convexity of the dual form of some symmetric functions is simply proved.. MSC: Primary 26D15; 05E05; 26B25 Keywords: majoriza[r] ...
9
The New Estimations of Diagonally Dominant Degree and Eigenvalues Distributions for the Schur Complements of Block Diagonally Dominant Matrices and Determinantal Bounds
... the Schur complement of matrices, we first exhibit some new esti- mations of diagonally dominant degree on the Schur com- plement of I(II)-block diagonally dominant matrices in this paper, which are proved ...
12