Viz web kurzu.

See the website of the course.

Primary:

lecture notes by Travis Schedler:

https://www.imperial.ac.uk/people/t.schedler/document/8765/lecture-notes/?lecture-notes.pdf

lecture notes by Benjamin Steinberg:

https://users.metu.edu.tr/sozkap/513-2013/Steinberg.pdf

Secondary:

1. Charles W. Curtis, Irving Reiner: Representation theory of finite groups and associative algebras, John Wiley & Sons, New York, 1988.

2. Walter Feit: The representation theory of finite groups, North-Holland mathematical library, Amsterdam, 1982

3. Steven H. Weintraub: Representation Theory of Finite Groups: Algebra and Arithmetic (Graduate Studies in Mathematics, Vol. 59), AMS, Providence 2003.

Primary:

lecture notes by Travis Schedler:

https://www.imperial.ac.uk/people/t.schedler/document/8765/lecture-notes/?lecture-notes.pdf

lecture notes by Benjamin Steinberg:

https://users.metu.edu.tr/sozkap/513-2013/Steinberg.pdf

Secondary:

1. Charles W. Curtis, Irving Reiner: Representation theory of finite groups and associative algebras, John Wiley & Sons, New York, 1988.

2. Walter Feit: The representation theory of finite groups, North-Holland mathematical library, Amsterdam, 1982

3. Steven H. Weintraub: Representation Theory of Finite Groups: Algebra and Arithmetic (Graduate Studies in Mathematics, Vol. 59), AMS, Providence 2003.

Viz web kurzu.

See the website of the course.

1. Základy teorie reprezentací: Maschkeho věta, Schurovo lemma, počet ireducibilních reprezentací, direktní a tenzorový součin, modulově teoretický přístup

2. Charaktery, věta o ortogonalitě

3. Reprezentace symetrických grup, hook length formula

4. The degree theorem, Burnsideova pq věta

5. Fourierova analýza na konečných grupách

1. Fundamentals of representation theory: Maschke's theorem, Schur's lemma, counting representations, direct and tensor product of representations, module-theoretic approach

2. Characters, orthogonality relation.

3. Representations of the symmetric group, hook length formula

4. The degree theorem, Burnside's pq theorem

5. Fourier analysis on finite groups

Lineární algebra, základy teorie grup v rozsahu kurzu 2. ročníku, základy komutativní algebry v rozsahu kurzu 3. ročníku.

Linear algebra and basics of the group theory and commutative algebra on the level of the introductory course in abstract algebra.