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Last update: T_MUUK (13.05.2015)
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Last update: prof. RNDr. Vladimír Souček, DrSc. (01.03.2020)
Study of invariants for classical groups |
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Last update: prof. RNDr. Vladimír Souček, DrSc. (05.05.2020)
Podmínky pro udělení zápočtu - referát. |
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Last update: prof. RNDr. Vladimír Souček, DrSc. (01.03.2020)
Weyl, H., Quantumtheorie und Gruppenlehre
Goodman, R., Walalch, N., Representations and Invariants of the Classical Groups,
Griffiths, Harris, Representation theory |
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Last update: prof. RNDr. Vladimír Souček, DrSc. (05.05.2020)
Lecture notes prepared by the lecturer. |
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Last update: prof. RNDr. Vladimír Souček, DrSc. (05.05.2020)
Examination is written, its aim is to test the knowledge of the material contained in the lecture notes prepared by the lecturer. |
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Last update: prof. RNDr. Vladimír Souček, DrSc. (01.03.2020)
1) Linear algebraic groups, classical groups and their Lie algebras, real forms of complex algebraic groups. 2) Regular and locally regular representations. 3) Classification of irreducible representations of classical groups using highest weights, complete reducibility. 4) Fourier analysis on the group algebra of a finite group, classification of irreducible representations of the group of permutations. 5) Representations of associative algebras, double commutant theorm. 6) Invariants for GL, SO and Sp groups.
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Last update: Mgr. Dalibor Šmíd, Ph.D. (11.06.2021)
Linear algebra, analysis on manifolds, basics of Lie algebras. |