MATH 256B

Topological Groups and Their Representations

Mathematics · 4 units · Graduate courses (200-299)

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Topological groups and their basic properties. Haar measure. Compact groups and their representations. Duality and Fourier analysis on locally compact abelian groups. Induced representations, Frobenius reciprocity. Representations of special groups (Lorentz, Galilean, etc.). Projective representations. Representations of totally disconnected groups.

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Requisites

Official UCLA wording
Requisite: course 255A.

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MATH 255A

Requires

Everything that has to come before this course, not just the courses named in the requisite above.

MATH 256B

MATH 255AFunctional Analysis
- MATH 245AReal Analysis
  - MATH 121Introduction to Topology
  - MATH 131AAnalysisanother path to it
  - MATH 131BAnalysisanother path to it
- MATH 245BReal Analysis
  - MATH 121Introduction to Topology

1 direct requisite. Showing 18 courses over 3 levels; the branches marked with a count carry on past it. Every course here opens its own tree.

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What this course is a requisite for, and what those courses lead to in turn.

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