caa a22 4500 605525986 CHVBK 20210128105159.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10958-015-2508-0 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2508-0 Volkov Yu St.Petersburg State University, St.Petersburg, Russia aut Hochschild Cohomology for Self-Injective Algebras of Tree Class D n [Elektronische Daten] VI [Yu. Volkov] For an R-bimodule M with structure of a k-algebra and an agreed action of a finite group G ⊂ AutR, an algebra HH*(R,M)G↑ is defined. An isomorphism between the algebras HH*(R) and HH* R ˜ , R ˜ # k G G ↑ $$ {\left(\tilde{R},\tilde{R}\#kG\right)}^{G\uparrow } $$ is constructed in terms of bar-resolutions, where R ˜ = R # k G ∗ $$ \tilde{R}=R\#k{G}^{\ast } $$ . The Hochschild cohomology algebra for one series of the self-injective algebras of tree class D n is calculated with the help of these results. Bibliography: 9 titles. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/4(2015-09-01), 500-514 1072-3374 209:4<500 2015 209 10958 https://doi.org/10.1007/s10958-015-2508-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2508-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Volkov Yu St.Petersburg State University, St.Petersburg, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 209/4(2015-09-01), 500-514 1072-3374 209:4<500 2015 209 10958 SWISSBIB 459123858