Group graded Morita equivalences for wreath products

Authors

DOI:

https://doi.org/10.24193/subbmath.2021.3.01

Keywords:

Group graded algebras, wreath products, Morita equivalences, crossed products, centralizer subalgebra

Abstract

Starting with group graded Morita equivalences, we obtain Morita equivalences for tensor products and wreath products.

Author Biography

  • Virgilius Aurelian Minuță, Technical University of Cluj-Napoca Babeș-Bolyai University, Cluj-Napoca
    Department of Mathematics, PhD Student

References

Marcus, A., Representation theory of group-graded algebras, Nova Science Publ. Inc., 1999;

Marcus, A., Minuță, V. A., Group graded endomorphism algebras and Morita equivalences, Mathematica, 62 (85) (2020), no. 1, 73-80;

Marcus, A., Minuță, V. A., Character triples and equivalences over a group graded G-algebra, J. Algebra, 565 (2021), 98-127;

Minuță, V. A., Graded Morita theory over a G-graded G-acted algebra, Acta Univ. Sapientiae Math., 12 (2020), no. 1, 164-178;

Späth, B., A reduction theorem for Dade’s projective conjecture, J. Eur. Math. Soc. (JEMS), 19 (2017), no. 4, 1071-1126;

Späth, B., Inductive Conditions for Counting Conjectures via Character Triples, in Representation theory-current trends and perspectives, (H. Krause, P. Littelmann, G. Malle, K. H. Neeb, C. Schweigert, Eds.), EMS Ser. Congr. Rep., Zürich, 2017, 665-680;

Späth, B., Reduction theorems for some global-local conjectures, in Local Representation Theory and Simple Groups, (R. Kessar, G. Malle, D. Testerman, Eds.), EMS Ser. Lect. Math., Zürich, 2018, 23-61.

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Published

2021-09-28

Issue

Vol. 66 No. 3 (2021)

Section

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