Representation Theory of Finite Groups and Associative by Charles W. Curtis

By Charles W. Curtis

Fayl skachal s Rapidshare - ne znayu dazhe, kakoe izdanie. No kachestvo prekrasnoe. Ne vidal li kto-to drugie dve knigi teh zhe avtorov? ("Methods of illustration thought with functions to finite teams and orders vol. 1-2")

Show description

Read or Download Representation Theory of Finite Groups and Associative Algebras PDF

Similar algebra & trigonometry books

An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra

During this creation to commutative algebra, the writer choses a path that leads the reader throughout the crucial rules, with no getting embroiled in technicalities. he's taking the reader quick to the basics of complicated projective geometry, requiring just a easy wisdom of linear and multilinear algebra and a few uncomplicated crew concept.

Inequalities : a Mathematical Olympiad approach

This booklet is meant for the Mathematical Olympiad scholars who desire to arrange for the learn of inequalities, a subject matter now of common use at numerous degrees of mathematical competitions. during this quantity we current either vintage inequalities and the extra valuable inequalities for confronting and fixing optimization difficulties.

Recent Progress in Algebra: An International Conference on Recent Progress in Algebra, August 11-15, 1997, Kaist, Taejon, South Korea

This quantity provides the complaints of the overseas convention on ""Recent development in Algebra"" that was once held on the Korea complex Institute of technological know-how and expertise (KAIST) and Korea Institute for complex research (KIAS). It introduced jointly specialists within the box to debate growth in algebra, combinatorics, algebraic geometry and quantity conception.

Extra resources for Representation Theory of Finite Groups and Associative Algebras

Sample text

3) The proof above can be easily modified to construct a C-algebra isomorphism EH,C : D ,C (n) → UC (gln ), where the algebras are defined over C with respect to a non-root-of-unity z ∈ C∗ .

1) is defined over A. Hence, we can form a double Ringel–Hall algebra D (n)A . Then D ,C (n) ∼ = D (n)A ⊗ C and D (n) = D (n)A ⊗ Q(v). 2. Schiffmann–Hubery generators In this and the following sections, we will investigate the structure of D (n) by relating it with the quantum enveloping algebra of a generalized Kac–Moody algebra based on [67, 39]; see also [38, 14]. 1). Recall that an element of a Hopf algebra with comultiplication is called primitive if 38 2. Double Ringel–Hall algebras of cyclic quivers (x) = x ⊗ 1 + 1 ⊗ x.

Also, let U(gln )0 be i,0 , εn , θ−s ), for 1 the subalgebra of U(gln ) generated by the ki±1 . 1) induces that of U(gln ). 4. The multiplication map U(gln )+ ⊗ U(gln )0 ⊗ U(gln )− −→ U(gln ) is a Q(v)-space isomorphism. 5. 12)]. Indeed, under the isomorphism EH , C is identified with the central subalgebra Z (n) of D (n). (2) In [40] a Hopf algebra isomorphism H (n) 0 → U(gln )+ ⊗ U(gln )0 −1 was established and, moreover, the elements EH−1 (x+j,−1 k−1 j ) and EH (gi,±s ) in D (n) were explicitly described.

Download PDF sample

Rated 4.58 of 5 – based on 41 votes