Bimodule resolution of Möbius algebra
A. I. Generalov, M. A. Kachalova

This publication is cited in the following articles:

1. A. I. Generalov, I. M. Zilberbord, V. A. Rogov, “Kogomologii Khokhshilda algebr diedralnogo tipa. X. Isklyuchitelnye lokalnye algebry”, Voprosy teorii predstavlenii algebr i grupp. 39, Zap. nauchn. sem. POMI, 522, POMI, SPb., 2023, 60–83  
2. M. A. Kachalova, “Koltso kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $E_8$”, Voprosy teorii predstavlenii algebr i grupp. 37, Zap. nauchn. sem. POMI, 500, POMI, SPb., 2021, 112–148  
3. A. I. Generalov, A. V. Semenov, “Kogomologii Khokhshilda algebr kvaternionnogo tipa. IV: Algebra kogomologii dlya isklyuchitelnykh lokalnykh algebr”, Voprosy teorii predstavlenii algebr i grupp. 34, Zap. nauchn. sem. POMI, 478, POMI, SPb., 2019, 32–77  
4. M. A. Kachalova, “Koltso kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $E_6$. II”, Voprosy teorii predstavlenii algebr i grupp. 34, Zap. nauchn. sem. POMI, 478, POMI, SPb., 2019, 128–171  
5. M. A. Kachalova, “Koltso kogomologii Khokhshilda samoin'ektivnykh algebr drevesnogo tipa $E_7$”, Voprosy teorii predstavlenii algebr i grupp. 35, Zap. nauchn. sem. POMI, 484, POMI, SPb., 2019, 86–114  
6. A. I. Generalov, N. Yu. Kosovskaia, “Hochschild cohomology of algebras of dihedral type. VIII. The Hochschild cohomology algebra for the family $D(2\mathcal B)(k,s,0)$ in characteristic $2$”, J. Math. Sci. (N. Y.), 243:4 (2019), 535–560    
7. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VI. The family $SD(2\mathcal B)_2$ in characteristic different from 2”, J. Math. Sci. (N. Y.), 222:4 (2017), 404–416      
8. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter”, J. Math. Sci. (N. Y.), 232:5 (2018), 622–634      
9. A. I. Generalov, I. M. Zilberbord, “Hochschild cohomology for algebras of semidihedral type. V. The family $SD(3\mathcal K)$”, J. Math. Sci. (N. Y.), 219:4 (2016), 493–512      
10. A. I. Generalov, D. B. Romanova, “Hochschild cohomology for algebras of dihedral type. VI. The family $D(2\mathcal B)(k,s,1)$”, St. Petersburg Math. J., 27:6 (2016), 923–940          
11. A. I. Generalov, N. Yu. Kosovskaia, “Hochschild cohomology for algebras of dihedral type. IV. The family $D(2\mathcal B)(k,s,0)$”, J. Math. Sci. (N. Y.), 209:4 (2015), 522–548      
12. M. A. Pustovykh, “Hochschild cohomology ring for self-injective algebras of tree class $E_6$”, J. Math. Sci. (N. Y.), 209:4 (2015), 614–644      
13. A. I. Generalov, I. M. Zilberbord, D. B. Romanova, “Hochschild cohomology for algebras of dihedral type. V. The family $D(3\mathcal K)$ in characteristic different from 2”, J. Math. Sci. (N. Y.), 219:3 (2016), 385–404      
14. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. IV. The cohomology algebra for the family $SD(2\mathcal B)_2(k,t,c)$ in the case $c=0$”, J. Math. Sci. (N. Y.), 202:3 (2014), 360–394      
15. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. III. The family $SD(2\mathcal B)_2$ in characteristic 2”, J. Math. Sci. (N. Y.), 192:2 (2013), 200–214      
16. Yu. V. Volkov, A. I. Generalov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. III”, J. Math. Sci. (N. Y.), 180:3 (2012), 252–268    
17. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type, II. Local algebras”, J. Math. Sci. (N. Y.), 180:3 (2012), 278–314    
18. Y. V. Volkov, “Hochschild cohomology for nonstandard self-injective algebras of tree class $D_n$”, J. Math. Sci. (N. Y.), 183:5 (2012), 600–628    
19. Y. V. Volkov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. IV”, J. Math. Sci. (N. Y.), 183:5 (2012), 629–639    
20. M. A. Pustovykh, “Hochschild cohomology ring of Möbius algebras”, J. Math. Sci. (N. Y.), 183:5 (2012), 692–714    
21. Yu. V. Volkov, “The Hochschild cohomology algebra for one family of self-injective algebras of tree class $D_n$”, St. Petersburg Math. J., 23:5 (2012), 851–879            
22. Y. V. Volkov, A. I. Generalov, S. O. Ivanov, “On construction of bimodule resolutions with the help of Happel's lemma”, J. Math. Sci. (N. Y.), 171:3 (2010), 338–343    
23. A. I. Generalov, “Hochschild cohomology of algebras of dihedral type. II. Local algebras”, J. Math. Sci. (N. Y.), 171:3 (2010), 357–379    
24. A. I. Generalov, “Hochschild cohomology of algebras of semidihedral type. I. Group algebras of semidihedral groups”, St. Petersburg Math. J., 21:2 (2010), 163–201          
25. Yu. V. Volkov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. II”, J. Math. Sci. (N. Y.), 161:4 (2009), 492–524      
26. A. I. Generalov, S. O. Ivanov, “Bimodule resolution of a group algebra”, J. Math. Sci. (N. Y.), 161:4 (2009), 537–541      
27. A. I. Generalov, A. A. Ivanov, S. O. Ivanov, “Hochschild cohomology of algebras of quaternion type. II. The family $Q(2\mathcal B)_1$ in characteristic 2”, J. Math. Sci. (N. Y.), 151:3 (2008), 2961–3009    
28. Yu. V. Volkov, A. I. Generalov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. I”, J. Math. Sci. (N. Y.), 147:5 (2007), 7042–7073      
29. M. A. Kachalova, “Hochschild cohomology for Möbius algebra”, J. Math. Sci. (N. Y.), 140:5 (2007), 699–715        
30. A. I. Generalov, “Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups”, St. Petersburg Math. J., 18:1 (2007), 37–76