Efficient construction of Drinfel'd doubles

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Efficient construction of Drinfel'd doubles

Full text

Pdf (849 KB)

Source

International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1999 international symposium on Symbolic and algebraic computation table of contents

Vancouver, British Columbia, Canada

Pages: 45 - 52

Year of Publication: 1999

ISBN:1-58113-073-2

Authors

Gerard P. Brunick	Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA
Edward L. Green	Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA
Lenwood S. Heath	Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA
Craig A. Struble	Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 6, Downloads (12 Months): 11, Citation Count: 1

Additional Information:

references cited by index terms collaborative colleagues

Tools and Actions:	Request Permissions Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/309831.309856 What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Thomas T. Cormen , Charles E. Leiserson , Ronald L. Rivest, Introduction to algorithms, MIT Press, Cambridge, MA, 1990
	2	DRINFEI,'I). V. G. Quantum groups. In Proceedings, International Congress of Math, ematicians (Berkeley, (:A, 1987), pp. 798--820.
	3	FEUSTEI., C. D., GREEN', E. L.. KIRKMzkN, E., AND KUZ.X.IA.','OVICH. 3. Constructing projective resolutions. Communications in Algebra 21, 6 (1993), 1869-1887.
	4	GREEN', E. L. Remarks on projective resolutions. In Representation theory, II (Proc. Second Internat. Conf., Carleton Univ., Ottawa, Ont.). Springer, Berlin, 1980, pp. 259-279.
	5	G,~EEN, E. L. Constrltcting quantum groups and Hopf algebras fi'om (:overings. ,Journal of Algebra 176 (1995), 12--33.
	6	Edward L. Green , Lenwood S. Heath , Benjamin J. Keller, Opal: A System for Computing Noncommutative Gröbner Bases, Proceedings of the 8th International Conference on Rewriting Techniques and Applications, p.331-334, June 02-05, 1997
	7	HEATH. L. S., GRE~:.X, E. L., AND THE HOPF TEAM. HOPF project site. http'//hal.cs, vt.edu/hopf, 1999.
	8	HUX(:ERFORr), T. W. Algebra. Graduate Texts in .Mathematics. Springer-Verlag, 1974.
	9	JtMttO, M. Introdu(:tion t() the Yang-Baxter equation. International Journal of Modern Physics A 4:15 (1989), 3759-3777.
	10	MAJlD, S. Hopf algebras for physics at the Planck scale. Classical and Quantum Gravity 5, 12 (1988), 1587-606.
	11	MAJID, S. Physics for algebraists: NoncoInmutative and nonc ocommutative HoI)f algebras by a 1)icrossprodll(:t, construction. Journal of Algebra 1,70, 1 (1990), 17- 64.
	12	_'VIAJID. S. Quasitriangular Hopf algebras and Yang- Baxter equations. International Journal of Modern Physics A 5, 1 (1990), 1-91.
	13	~;IAJID... S. Foundations of Quantum Group Theory. Cambridge University Press, Cambridge, Great Britain, 1995.
	14	MA31D. S. Quantum double for quasi-IIopf algebras. Letter's in Mathematical Physics 45, 1 (1998), 1-9.
	15	MONTGOMERY, S. Hopf Algebras and Their Actions on Rings. No. 82 in Regional Conferencc Series in Mathematics. Conference Board of the Ma.thcmatical Sciences, 1993.
	16	NILL. F., AND SZLACIIANYI, K. Quantum chains of Hopf algebras with quluttmn double cosymmetry. Communications in Mathematical Physics 187, 1 (1997), 159 200.
	17	SCH6NErT, M.. ET AL. GAP -- Group.s, Algorithms, and Programming, fifth ed. Lehrstuhl D fiir Ma.thematik, Rheinisch Westf:~ilischc Technische Hochschulc, Aachen, Germany, 1995.
	18	STm:n{:E, C. A. Computational Approaches to the. Decomposition of Algebras and Modules. PhD thesis, Virginia Tech, 1999. In progress.