* [institute page](https://math.nd.edu/people/faculty/brian-c-hall/) ## Selected writings On [[Hall coherent states]]: * [[Brian Charles Hall]], _The Segal-Bargmann coherent state transform for Lie groups_. J. Funct. Anal. __122__:103–151, 1994 ([doi:10.1006/jfan.1994.1064](http://dx.doi.org/10.1006/jfan.1994.1064)) * [[Brian Charles Hall]], _Holomorphic methods in analysis and mathematical physics_, First Summer School in Analysis and Mathematical Physics (Cuernavaca Morelos, 1998). Contemp. Math., __260__:1–59, 2000; * [[Brian Charles Hall]], _Geometric quantization and the generalized Segal–Bargmann transform for Lie groups of compact type_, Comm. Math. Phys., __226__:233–268, 2002 ([doi:10.1007/s002200200607](http://dx.doi.org/10.1007/s002200200607)) * B. Driver, [[Brian Hall]], _Yang-Mills theory and the Segal-Bargmann transform_, Commun. Math. Phys. 201, 249–290 (1999) ([MR2000c:58064](http://www.ams.org/mathscinet-getitem?mr=1682238)) On [[Lie theory]] ([[Lie groups]], [[Lie algebras]], [[linear representations]]): * {#Hall15} [[Brian C. Hall]], *Lie Groups, Lie Algebras, and Representations*, Springer 2015 ([doi:10.1007/978-3-319-13467-3](https://doi.org/10.1007/978-3-319-13467-3)) category: people [[!redirects Brian Hall]] [[!redirects Brian Charles Hall]]