Geodesic
Hochschild cohomology of algebras of dihedral type. IX. The Hochschild cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from $2$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 30-56 
A. I. Generalov; M. A. Kachalova; P. A. Mostovskij. Hochschild cohomology of algebras of dihedral type. IX. The Hochschild cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from $2$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 30-56. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a3/
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     author = {A. I. Generalov and M. A. Kachalova and P. A. Mostovskij},
     title = {Hochschild cohomology of algebras of dihedral type. {IX.} {The} {Hochschild} cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from~$2$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     year = {2022},
     volume = {513},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a3/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The Hochschild cohomology ring for algebras of dihedral type which form the family $D(3\mathcal K)$ (from the famous K. Erdmann's classification) over an algebraically closed field with characteristic different from $2$ is described in terms of generators and relations.

[1] A. I. Generalov, “Kogomologii Khokhshilda algebr diedralnogo tipa, I: seriya $D(3\mathcal K)$ v kharakteristike 2”, Algebra i analiz, 16:6 (2004), 53–122

[2] A. I. Generalov, “Kogomologii Khokhshilda algebr diedralnogo tipa, II. Lokalnye algebry”, Zap. nauchn. semin. POMI, 375, 2010, 92–129

[3] A. I. Generalov, “Kogomologii Khokhshilda algebr diedralnogo tipa, III. Lokalnye algebry v kharakteristike 2”, Vestnik S.-Peterburgskogo un-ta. Ser. 1. Mat., mekh., astron., 2010, no. 1, 28–38

[4] A. I. Generalov, N. Yu. Kosovskaya, “Kogomologii Khokhshilda algebr diedralnogo tipa, IV. Seriya $D(2\mathcal B)(k,s,0)$”, Zap. nauchn. semin. POMI, 423, 2014, 67–104

[5] A. I. Generalov, I. M. Zilberbord, D. B. Romanova, “Kogomologii Khokhshilda algebr diedralnogo tipa. V. Seriya $D(3\mathcal K)$ v kharakteristike, otlichnoi ot 2”, Zap. nauchn. semin. POMI, 430, 2014, 74–102

[6] A. I. Generalov, D. B. Romanova, “Kogomologii Khokhshilda algebr diedralnogo tipa, VI. Seriya $D(2\mathcal B)(k,s,1)$”, Algebra i analiz, 27:6 (2015), 89–116

[7] A. I. Generalov, M. A. Filippov, “Kogomologii Khokhshilda algebr diedralnogo tipa, VII. Seriya $D(3\mathcal R)$”, Zap. nauchn. semin. POMI, 460, 2017, 53–81

[8] A. I. Generalov, N. Yu. Kosovskaya, “Kogomologii Khokhshilda algebr diedralnogo tipa, VIII. Algebra kogomologii dlya serii $D(2\mathcal B)(k,s,0)$ v kharakteristike 2”, Zap. nauchn. semin. POMI, 470, 2018, 50–87