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Titlebook: Topics in Computational Algebra; G. M. Piacentini Cattaneo,E. Strickland Book 1990 Kluwer Academic Publishers 1990 algebra.algebraic geome

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楼主: EVOKE
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Aspects of characteristic-free representation theory of GLn, and some applications to intertwining numbers,s. In the mid-seventies, Carter and Lusztig [6] defined the Weyl modules for the general linear group over any field, independent of characteristic. Towber, a little later [9], defined the Schur and Weyl modules for GL. over an arbitrary commutative ring. Using standard monomial theory, Lakshmibai,
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Some remarks on the computation of complements and normalizers in soluble groups,his paper into a survey of the state of the art in that wider field. In this paper a reminiscence of that overview will be confined to some very sketchy historical remarks in this introduction, but the bibliography should still be sufficient to obtain a reasonable coverage of the literature on the field by tracing back.
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,Polynomial Identities for 2 × 2 Matrices, is a two-sided ideal of . which is invariant under all endomorphisms of . and is called a .. When T(.) ≠ 0, i.e. . satisfies a non-trivial polynomial identity, . is a .. The class var . of all algebras satisfying the identities from T(.) is called the . generated by ..
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The Nagata-Higman Theorem, Ivanov [2] in 1943, nine years before the paper of Nagata. It had been completely overlooked by the mathematical community and had had no impact on subsequent research. Therefore in my history it appears as a recent archaeological find.
发表于 2025-3-26 13:07:13 | 显示全部楼层
Aspects of characteristic-free representation theory of GLn, and some applications to intertwining numbers,owber, a little later [9], defined the Schur and Weyl modules for GL. over an arbitrary commutative ring. Using standard monomial theory, Lakshmibai, Musili and Seshadri [8] defined the Schur modules for the classical groups over any commutative ring.
发表于 2025-3-26 20:32:47 | 显示全部楼层
Computing with characters of finite groups,tions which for larger examples one certainly would not like to do without the help of a computer. So it is certainly useful to have character tables not only in book form but also stored on a computer.
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