The On-Line Encyclopedia of Integer Sequences (OEIS)

The OEIS is supported by the many generous donors to the OEIS Foundation.

Revision History for A287944

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A287944

Theta series of the 42-dimensional lattice of hyper-roots A_5(SU(3)).
(history; published version)

#25 by Alois P. Heinz at Mon Apr 24 11:20:20 EDT 2023

STATUS

proposed

approved

#24 by Michel Marcus at Mon Apr 24 11:14:10 EDT 2023

STATUS

editing

proposed

#23 by Michel Marcus at Mon Apr 24 11:14:07 EDT 2023

LINKS

R. Robert Coquereaux, <a href="https://arxiv.org/abs/1708.00560">Theta functions for lattices of SU(3) hyper-roots</a>, arXiv:1708.00560 [math.QA], 2017.

STATUS

approved

editing

#22 by Joerg Arndt at Sun Sep 03 13:15:15 EDT 2017

STATUS

editing

approved

#21 by Joerg Arndt at Sun Sep 03 13:15:12 EDT 2017

NAME

Theta series of the 42-dimensional lattice of hyper-roots A_5(SU(3)).

STATUS

proposed

editing

#20 by Michel Marcus at Sun Sep 03 13:14:16 EDT 2017

STATUS

editing

proposed

#19 by Michel Marcus at Sun Sep 03 13:14:06 EDT 2017

REFERENCES

R. Coquereaux, <a href="https://arxiv.org/abs/1708.00560">Theta functions for lattices of SU(3) hyper-roots</a>, arXiv:1708.00560[math.QA], 2017.

A. Ocneanu, <a href="https://cel.archives-ouvertes.fr/cel-00374414">The Classification of subgroups of quantum SU(N)</a>, in "Quantum symmetries in theoretical physics and mathematics", Bariloche 2000, Eds. R. Coquereaux, A. Garcia. and R. Trinchero, AMS Contemporary Mathematics, 294, pp. 133-160, (2000). End of Sec 2.5.

LINKS

R. Coquereaux, <a href="https://arxiv.org/abs/1708.00560">Theta functions for lattices of SU(3) hyper-roots</a>, arXiv:1708.00560[math.QA], 2017.

KEYWORD

nonn,more,new

STATUS

approved

editing

#18 by N. J. A. Sloane at Fri Sep 01 23:48:15 EDT 2017

STATUS

proposed

approved

#17 by Robert Coquereaux at Fri Sep 01 17:51:03 EDT 2017

STATUS

editing

proposed

#16 by Robert Coquereaux at Fri Sep 01 17:35:37 EDT 2017

COMMENTS

The lattice is defined by 2 * r * 2r(k+3)^2/3=896 hyper-roots of norm 6 which are also the vectors of shortest length. Minimal norm is 6. Det =(k+3)^(3(k+1)) = 8^18.

CROSSREFS

Cf. A290654 is A_2(SU(3)). Cf. A290655 is A_3(SU(3)). Cf. A287329 is A_4(SU(3). Cf. A288488, A288489, A288776, A288779, A288909.

Cf. A290655 is A_3(SU(3)).