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MATH 256BTopological 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.

S/U or letter grading.

When it runs

Not on the schedule for any of Fall 2025 through Spring 2027. UCLA publishes only that window, so this does not mean the course is gone — check the official listing.

Requisites

Official UCLA wording

Requisite: course 255A.

BruinTree reads · Prerequisite

confidence 1.00 · from text
MATH 255A

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About MATH 256B. We read UCLA’s requisite wording by machine, and it gets things wrong.

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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 Topologyanother path to it
      • MATH 131AAnalysisanother path to it
      • MATH 131BAnalysisanother path to it
    • MATH 246AComplex Analysis
      • MATH 131AAnalysis2 more beneath
      • MATH 131BAnalysis2 more beneath
    • MATH 265AReal Analysis for Applications
      • MATH 131AAnalysisanother path to it
      • MATH 131BAnalysisanother path to it
    • MATH 265BReal Analysis for Applications
      • MATH 131AAnalysisanother path to it
      • MATH 131BAnalysisanother path to it

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.

Unlocks

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

No course in the catalog lists this as a requisite.