The general theory is developed sparingly, and then mainly as a useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie Groups; in...
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The Wedderburn-Artin theory has since become the cornerstone of noncommutative ring theory, so in this first chapter of our book, it is only fitting that we devote ourselves to an exposition of this basic theory.doi:10.1007/978-1-4419-8616-0_3...
Representation Theory: A First Course [M]. New York: Springer-Verlag, 1991. Hall B C. Lie Groups, Lie Algebras, and Representations [M]. New York: Springer-Verlag, 2003. About this Article Title A representation of sl(2;C) on clifford algebra of even dimension Journal Wuhan University ...
course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. ...
“theory” as a verbal aesthetic supplement to design practice. To encourage students not to “use” texts so much as to parse their intentions and devices, students are asked to read and discuss together and formulate answers to questions about the texts. Students with different comfort levels ...
Using Robinson's unification theory, matrix characterizations were introduced for the automated deduction community independently by Andrews [1981] and Bibel [1981, 1982c]. Prom a computational point of view their contributions were significant improvements of the work of the Swedish logicians, mainly ...
Combinatorial methods in invarint theory. Studies in Appl. Math. 53, 185–216 (1974) Fulton, W., Harris, J.: Representation theory. A first course. Graduate Texts in Mathematics, vol. 129. Springer, New York (1991) Garsia, A., Mc Larnan, T.J.: Relations between Young’s ...
We call these models Normal Forms, since by their nature they are very close to normal forms of singularities, known in mathematical Singularity theory. While the representation of the background shares common features with the conventional methods (improving them due to the fact that only large...