Herscovich, Estanislao; Li, Ziling Hochschild and cyclic (co)homology of the Fomin-Kirillov algebra on 3 generators. (English) Zbl 07828317 J. Noncommut. Geom. 18, No. 1, 143-230 (2024). Reviewer: Yining Zhang (Singapura) MSC: 16E40 16S37 16T05 18G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herscovich, Estanislao; Li, Ziling Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators. (English) Zbl 1511.16009 Doc. Math. 27, 1773-1804 (2022). Reviewer: Lleonard Rubio y Degrassi (Verona) MSC: 16E40 18G10 16S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herscovich, Estanislao An elementary computation of the cohomology of the Fomin-Kirillov algebra with \(3\) generators. (English) Zbl 1454.16033 Homology Homotopy Appl. 22, No. 2, 367-386 (2020). MSC: 16S37 16T05 16E40 18G15 × Cite Format Result Cite Review PDF Full Text: DOI
Heckenberger, I.; Vendramin, L. PBW deformations of a Fomin-Kirillov algebra and other examples. (English) Zbl 1454.16037 Algebr. Represent. Theory 22, No. 6, 1513-1532 (2019). MSC: 16T05 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pogorelsky, Barbara; Vay, Cristian On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra \(\mathcal{FK}_3 \). (English) Zbl 1498.16040 Algebr. Represent. Theory 22, No. 6, 1399-1426 (2019). MSC: 16T05 16S40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Walton, Chelsea; Zhang, James J. On the quadratic dual of the Fomin-Kirillov algebras. (English) Zbl 1471.16051 Trans. Am. Math. Soc. 372, No. 6, 3921-3945 (2019). MSC: 16W50 16P40 16P90 16E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berenstein, Arkady; Kazhdan, David Hecke-Hopf algebras. (English) Zbl 1481.16036 Adv. Math. 353, 312-395 (2019). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16T05 17B37 20F55 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Seung Jin Chern class of Schubert cells in the flag manifold and related algebras. (English) Zbl 1397.14066 J. Algebr. Comb. 47, No. 2, 213-231 (2018). Reviewer: Shrawan Kumar (Chapel Hill) MSC: 14M15 14C17 14N15 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laugwitz, Robert On Fomin-Kirillov algebras for complex reflection groups. (English) Zbl 1428.16031 Commun. Algebra 45, No. 8, 3653-3666 (2017). MSC: 16T05 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vay, Cristian On Fomin-Kirillov algebras. (Acerca de las álgebras de Fomin-Kirillov.) (Spanish) Zbl 1368.16039 Platzeck, María Inés (ed.) et al., Actas del XIII congreso “Dr. Antonio A. R. Monteiro”. Bahía Blanca: Universidad Nacional del Sur, Instituto de Matemática. 43-54 (2016). MSC: 16T05 05C25 14M15 × Cite Format Result Cite Review PDF
Blasiak, Jonah; Liu, Ricky Ini; Mészáros, Karola Subalgebras of the Fomin-Kirillov algebra. (English) Zbl 1350.05179 J. Algebr. Comb. 44, No. 3, 785-829 (2016). MSC: 05E15 20F55 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pogorelsky, Barbara; Vay, Cristian Verma and simple modules for quantum groups at non-abelian groups. (English) Zbl 1393.17027 Adv. Math. 301, 423-457 (2016). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 16T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ştefan, Dragoş; Vay, Cristian The cohomology ring of the 12-dimensional Fomin-Kirillov algebra. (English) Zbl 1366.18015 Adv. Math. 291, 584-620 (2016). Reviewer: Ramón González Rodríguez (Vigo) MSC: 18G15 16T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Ricky Ini Positive expressions for skew divided difference operators. (English) Zbl 1326.05173 J. Algebr. Comb. 42, No. 3, 861-874 (2015). MSC: 05E15 16T05 33D80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kirillov, Anatol N.; Maeno, Toshiaki Braided differential structure on Weyl groups, quadratic algebras, and elliptic functions. (English) Zbl 1222.47051 Int. Math. Res. Not. 2008, Article ID rnn046, 23 p. (2008). Reviewer: Erich W. Ellers (Toronto) MSC: 47B39 47A67 16T05 47L80 05E15 14M15 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv