Growth functions of Algebras and Modules

We study three growth functions of algebras: the Gelfand-Kirillov dimension, the superdimension, and the entropy. We also consider a variation of the entropy successfully used in our joint work with W. Bock et al. on Leavitt path algebras, and, in a recent study with J. Schwarz, we extend this notion to modules. We prove results that make precise the heuristic that the Gelfand-Kirillov dimension is suited to algebras of polynomial growth, the superdimension to algebras of subexponential growth, and the entropy to algebras of exponential growth.

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There will be coffee after the seminar