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Lecturer(s)
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Peřinová Vlasta, prof. RNDr. DrSc.
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Course content
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1. Elements of the theory of representations. 2. Transformation groups and their representation. 3. Invariant operators and theory of representations. 4. Representation of compact groups. 5. -11. Different kinds of special functions.
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Learning activities and teaching methods
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Lecture
- Preparation for the Exam
- 600 hours per semester
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Learning outcomes
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The lecture is oriented to the use of the theory of group representations in the classification and exposition of special functions. The theory of group representations proved to be fruitful in the fundamental physics.
Knowledge. Define main notions, approaches, to be able to solve model problems.
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Prerequisites
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Basic knowledge of the undergraduate mathematics and physics.
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Assessment methods and criteria
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Oral exam
Basic knowledge of mathematics.
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Recommended literature
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Peřinová, V. (1995). Úvod do teorie speciálních funkcí (část A a B). UP Olomouc.
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Vilenkin, N.Ya. (1965). Specialnyje funkcii i teorija predstavlenij grup. Nauka, Moskva.
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