Abstract
This talk is a preliminary report on the joint work with Jing-Song Huang and David Vogan. The main question we address is: to what extent is an \(A_\mathfrak {q}(\lambda )\) module determined by its Dirac cohomology? The focus of the talk is not so much on explaining this question and its answer, which are mentioned briefly at the end. Rather, the focus is on introducing the whole setting and giving some background material about representation theory, especially the notion of Dirac cohomology.
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The author was supported by grant no. 4176 of the Croatian Science Foundation and by the Center of Excellence QuantiXLie.
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Pandžić, P. (2016). Classifying \(A_\mathfrak {q}(\lambda )\) Modules by Their Dirac Cohomology. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2015. Springer Proceedings in Mathematics & Statistics, vol 191. Springer, Singapore. https://doi.org/10.1007/978-981-10-2636-2_27
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