Graded Clifford Algebras of Prime Global Dimension with an Action of H_p

REFERENCES

• Artin , M. , Schelter , W. F. ( 1987 ). Graded algebras of global dimension 3 . Advances in Mathematics 66 ( 2 ): 171 – 216 .
   Web of Science ®Google Scholar
• Artin , M. , Tate , J. , Van den Bergh , M. ( 2007 ). Some algebras associated to automorphisms of elliptic curves . In: The Grothendieck Festschrift . Boston : Springer , pp. 33 – 85 .
   Google Scholar
• Cassidy , T. , Vancliff , M. ( 2010 ). Generalizations of graded clifford algebras and of complete intersections . Journal of the London Mathematical Society 81 ( 1 ): 91 – 112 .
   Web of Science ®Google Scholar
• Conca , A. , De Negri , E. , Rossi , M. E. (2013). Koszul algebras and regularity. In: Commutative Algebra . New York : Springer, pp. 285–315.
   Google Scholar
• Krahmer , U. Notes on Koszul algebras . http://www.maths.gla.ac.uk/~ukraehmer/connected.pdf. [Online; accessed 16-December-2013] .
   Google Scholar
• Le Bruyn , L. ( 1995 ). Central singularities of quantum spaces . Journal of Algebra 177 : 142 – 153 . UIA report 94-06 .
   Web of Science ®Google Scholar
• Odesskii , A. V. , Feigin , B. L. ( 1989 ). Sklyanin elliptic algebras . Functional Analysis and Its Applications 23 ( 3 ): 207 – 214 .
   Web of Science ®Google Scholar
• Piontkovskii , D. I. ( 2001 ). On the hilbert series of koszul algebras . Funktsional'nyi Analiz i ego prilozheniya 35 ( 2 ): 64 – 69 .
   Google Scholar
• Poliščuk , A. , Posicelski , L. ( 2005 ). Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups . Vol. 37 . AMS Bookstore .
   Google Scholar
• Shelton , B. , Tingey , C. ( 2001 ). On koszul algebras and a new construction of artin–schelter regular algebras . Journal of Algebra 241 ( 2 ): 789 – 798 .
   Web of Science ®Google Scholar
• Silverman , J. H. ( 2009 ). The Arithmetic of Elliptic Curves . Vol. 106 . New York : Springer .
   Google Scholar
• Smith , S. P. , Tate , J. ( 1994 ). The center of the 3-dimensional and 4-dimensional sklyanin algebras . K-Theory 8 ( 1 ): 19 – 63 .
   Google Scholar
• Vancliff , M. , Van Rompay , K. , Willaert , L. ( 1998 ). Some quantum p3s with infinitely many points . Communications in Algebra 26 ( 4 ): 1193 – 1208 .
   Web of Science ®Google Scholar
• Communicated by T. Lenagan.
   Google Scholar