Branching Laws for Representations of a Non-Compact Orthogonal Group
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Overview
This course covers the topic of branching laws for representations of a non-compact orthogonal group. The learning outcomes include understanding classical results, multiplicities, finite-dimensional representations, irreducible representations, and the definition of multiplicities. The course teaches skills such as applying patching rules, defining parameters, and recognizing the significance of height in this context. The teaching method is through a lecture format. The intended audience for this course is individuals interested in advanced mathematics, particularly in the field of representation theory.
Syllabus
Introduction
Background
Notice Theorem
Original Article
Quantum Field Theory
Classical Results
Multiplicities
Noncompact Orthogonal Group
Special Orthogonal Group
Finite dimensional representations
Irreducible representations
Multiplicity definition
Parameters
Height
Patching Rules
Multiplicity
Same Signature
Remarks
Appreciation Plaque
Taught by
Joint Mathematics Meetings