Results 251 to 260 of about 229,327 (286)

Modular Representation Theory of Lie Algebras

American Journal of Mathematics, 1988
The paper under review investigates finite dimensional representations of Lie algebras over algebraically closed fields of characteristic \(p>0\). The Lie algebras are assumed to be restricted. The most essential results concern Lie algebras of the form \({\mathfrak g}=Lie(G)\) where G is a semisimple algebraic group.
Friedlander, Eric M., Parshall, Brian J.
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Modular representation theory and pi-algebras

Communications in Algebra, 1988
(1988). Modular representation theory and pi-algebras. Communications in Algebra: Vol. 16, No. 10, pp. 2043-2067.
O.M. Di Vincenzo, A. Giambruno
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Rank of inclusion matrices and modular representation theory

Israel Journal of Mathematics, 1990
The rank of the incidence matrix of the lattice of subsets of a finite set or the lattice of subspaces of a finite dimensional vector space over the finite field \(F_ q\), \(q=p^ d\), is computed over any field \(K\), except when \(\hbox{char}(K)=2\) in the case of subsets and \(\hbox{char}(K)=p\) in the case of subspaces.
Frumkin, Avital, Yakir, Arieh
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Modular Representation Theory and Physics

Modular Representation Theory and Physics: A Homological-Categorical Handbook. The notes build modular representation theory for finite groups over a p-modular system (K,R,k), introduce Brauer characters, blocks, decomposition and Cartan matrices, and analyze defect groups.
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Modular Representation Theory- Notes and Expansions

These notes present a self-contained introduction to modular representation theory of finite groups. Beginning with FG-modules, simplicity criteria via the orbit algorithm, and Nakayama’s lemma, the text develops block theory through central idempotents and central characters modulo p, then analyzes defect groups as a measure of non-semisimplicity.
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A remark on conjectures in modular representation theory

Archiv der Mathematik, 1987
Let p be a prime, let B be a p-block of some finite group G with defect group D, and let \(k_ 0(B)\) denote the number of irreducible ordinary characters of height zero in B. In [Math. Z. 186, 41-47 (1984; Zbl 0534.20006)] \textit{J. Olsson} conjectured that \(k_ 0(B)\leq | D/D'|\) where D' denotes the commutator subgroup of D.
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Contributions to Modular Representation Theory of Finite Groups

1991
Since all finite simple groups have been classified [43], it is a natural question whether the major conjectures in modular representation theory are consequences of this important and deep classification theorem. In this article, a survey is given about the progress which has been achieved on the famous open conjectures of J. Alperin [2] and R. Brauer
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Designing modern aqueous batteries

Nature Reviews Materials, 2022
Yanliang Liang, Yan Yao
exaly  

Poly(ADP-Ribose) polymerase (PARP) inhibitors: Exploiting a synthetic lethal strategy in the clinic

Ca-A Cancer Journal for Clinicians, 2011
Timothy A Yap, Johann Sebastian de Bono
exaly