Roots of Unity as a Lie Algebra

Georgian Mathematical Journal

Volumn 9, Issue 4, 2002, Pages 683-690

  Davydov, A ^a   Street, R ^a  

^a MACQUARIE UNIVERSITY   (Australia)

Author keywords

17B01; 18D10; 18D50; cyclic group; Lie algebra; operad; species; substitude

Indexed keywords

EID: 0013269103     PISSN: 1072947X     EISSN: 15729176     Source Type: Journal    
DOI: 10.1515/GMJ.2002.683     Document Type: Article

References (11)

1. B. Bakalov, A. D'Andrea and V. G. Kac, Theory of finite pseudoalgebras. Adv. Math. 162(2001), No. 1, 1-140.
2. H. Barcelo and S. Sundaram, On some submodules of the action of the symmetric group on the free Lie algebra. J. Algebra 154(1993), 12-26.
3. B. J. Day and R. H. Street, Kan extensions along promonoidal functors. Theory Appl. Categ. 1(1995), No. 4, 72-77 (electronic).
4. B. J. Day and R. H. Street, Lax monoids, pseudo-operads, and convolution. Contemp. Math. (to appear) http://www.maths.mq.edu.au/street/Multicats.pdf
5. B. Day and R. Street, Abstract substitution in enriched categories. J. Pure Appl. Algebra (to appear).
6. S. Eilenberg and G. M. Kelly, Closed categories. Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965), 421-562. Springer, New York, 1966.
7. A. Joyal, Foncteurs analytiques et especes de structures. Lecture Notes in Mathematics, 137, 126-159. Springer-Verlag, Berlin, 1970.
8. A. A. Klyachko, Lie elements in a tensor algebra. Sibirsk. Mat. Zh. 15(1974), 1296-1304, 1430.
9. J. Lambek, Deductive systems and categories. II. Standard constructions and closed categories. Lecture Notes in Mathematics, 86, 76-122. Springer, Berlin, 1969.
10. S. Mac Lane, Categories for the working mathematician. Graduate Texts in Mathematics, 5. Springer-Verlag, Berlin, 1971.
11. J. P. May, The geometry of iterated loop spaces. Lectures Notes in Mathematics, 271. Springer-Verlag, Berlin-New York, 1972.