Unitary Representations
and Unitary Duals

This volume will develop the basic machinery of unitary representation theory with a particular emphasis on studying the phenomena of spectral gap.

• Chapter 1: Unitary Representations (March 2022)

• Chapter 2: Abelian Groups (March 2022)

• Chapter 3: Normal Abelian Subgroups and some Metabelian Groups (March 2022)

• Chapter 4: Weak Containment and the Fell Topology (March 2022)

• Chapter 5: Compact Groups (March 2022)

• Chapter 6: Lie Algebras and Unitary Representations of SU(2, R) (March 2022)

• Chapter 7: Smooth Vectors and Decay for SL(3,R) (March 2022)

• Chapter 8: Temperedness and Tempered Decay for SL(2,R) (March 2022)

• Chapter 9: Unitary Representations of SL(2,R) (March 2022)

• Appendix A: Linear Algebra (October 2019)

• References and Index  (August 2018)