Registro:

Referencias:

• Andruskiewitsch, N., Fantino, F., García, G.A., Vendramin, L., On Nichols algebras associated to simple racks (2011) Groups, Algebras and Applications, 537, pp. 31-56. , of Contemp. Math, Amer. Math. Soc., Providence, RI
• Andruskiewitsch, N., Heckenberger, I., Schneider, H.-J., The Nichols algebra of a semisimple Yetter-Drinfeld module (2010) Amer. J. Math., 132 (6), pp. 1493-1547
• Andruskiewitsch, N., Schneider, H.-J., Pointed Hopf algebras (2002) New Directions in Hopf Algebras, Volume 43 of Math. Sci. Res. Inst. Publ, pp. 1-68. , Cambridge University Press, Cambridge
• Bazlov, Y., Nichols-Woronowicz algebra model for Schubert calculus on Coxeter groups (2006) J. Algebra, 297 (2), pp. 372-399
• Berger, R., Ginzburg, V., Higher symplectic reflection algebras and non-homogeneous N-Koszul property (2006) J. Algebra, 304 (1), pp. 577-601
• Blasiak, J., Liu, R.I., Mészáros, K., Subalgebras of the Fomin-Kirillov algebra (2016) J Algebraic Combin., 44 (3), pp. 785-829
• Crawley-Boevey, W., Holland, M.P., Noncommutative deformations of Kleinian singularities (1998) Duke Math. J., 92 (3), pp. 605-635
• Ştefan, D., Vay, C., The cohomology ring of the 12-dimensional Fomin-Kirillov algebra (2016) Adv. Math., 291, pp. 584-620
• Etingof, P., Ginzburg, V., Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism (2002) Invent. Math., 147 (2), pp. 243-348
• Etingof, P., Rains, E., New deformations of group algebras of Coxeter groups (2005) Int. Math. Res. Not, (10), pp. 635-646
• Etingof, P., Rains, E., New deformations of group algebras of Coxeter groups. II (2008) Geom. Funct. Anal., 17 (6), pp. 1851-1871
• Fløystad, G., Vatne, J.E., PBW-deformations of N-Koszul algebras (2006) J. Algebra, 302 (1), pp. 116-155
• Fomin, S., Kirillov, A.N., Quadratic Algebras, Dunkl Elements, and Schubert Calculus (1999) Advances in Geometry, pp. 147-182. , Birkhäuser Boston, Boston, MA
• Gan, W.L., Ginzburg, V., Deformed preprojective algebras and symplectic reflection algebras for wreath products (2005) J. Algebra, 283 (1), pp. 350-363
• García Iglesias, A., Vay, C., Finite-dimensional pointed or Hopf algebras over affine racks (2014) J. Algebra, 397, pp. 379-406
• Graña, M., On Nichols algebras of low dimension (2000) New Trends in Hopf Algebra Theory, pp. 111-134. , La Falda, 1999, volume 267 of Contemp. Math, Amer. Math. Soc., Providence, RI
• Heckenberger, I., Vendramin, L., Nichols algebras over groups with finite root system of rank two II (2014) J. Group Theory, 17 (6), pp. 1009-1034
• Lentner, S., (2017) Quantum groups and Nichols algebras acting on conformal field theories
• Liu, R.I., On the commutative quotient of Fomin-Kirillov algebras (2016) European J. Combin., 54, pp. 65-75
• Majid, S., Noncommutative differentials and Yang-Mills on permutation groups S n (2005) Hopf Algebras in Noncommutative Geometry and Physics, Volume 239 of Lecture Notes in Pure and Appl. Math, pp. 189-213. , Dekker, New York
• Majid, S., Raineri, E., Electromagnetism and gauge theory on the permutation group S3, (2002) J. Geom. Phys., 44 (2-3), pp. 129-155
• Mészáros, K., Panova, G., Postnikov, A., Schur Schubert via the Fomin-Kirillov algebra (2014) Electron J. Combin., 21 (1)
• Milinski, A., Schneider, H.-J., Pointed indecomposable Hopf algebras over Coxeter groups (1999) New Trends in Hopf Algebra Theory, pp. 215-236. , La Falda, volume 267 of Contemp. Math, Amer. Math. Soc., Providence, RI
• Mora, T., An introduction to commutative and noncommutative Gröbner bases (1994) Theoret. Comput. Sci., 134 (1), pp. 131-173. , Second International Colloquium on Words, Languages and Combinatorics, Kyoto (1992
• Ngakeu, F., Majid, S., Lambert, D., Noncommutative Riemannian geometry of the alternating group A4 (2002) J. Geom. Phys., 42 (3), pp. 259-282
• Polishchuk, A., Positselski, L., Nonhomogeneous quadratic algebras (2005) University Lecture Series, pp. 101-118. , American Mathematical Society, Providence, Rhode Island
• Roehrig, B., (2016) Deformed Fomin-Kirillov algebras and applications, , https://doi.org/10.17192/z2017.0049, Phd Thesis, Philipps-Universität, Marburg
• Scharlau, W., (1985) Quadratic and Hermitian forms, volume 270 of Grundlehren Der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], , Springer, Berlin
• Shepler, A.V., Witherspoon, S., PBW deformations of skew group algebras in positive characteristic (2015) Algebr. Represent. Theory, 18 (1), pp. 257-280
• Walton, C., Witherspoon, S., PBW deformations of braided products (2018) J Algebra, 504, pp. 536-567

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------