Instantons on the Quantum 4-pheres S4q
✍ Scribed by Ludwik Dąbrowski; Giovanni Landi; Tetsuya Masuda
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 69 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper we consider the action of the simple group F q on the cosets of 4 Ž . the maximal subgroup B q . We show that the action is multiplicity-free of rank 4 q q 3; we obtain suborbit representatives and calculate subdegrees, show that all suborbits are self-paired, find that none of the gra
It is unknown whether or not there exists an [87, 5, 57 ; 31-code. Such a code would meet the Griesmer bound. The purpose of this paper is to give a constructive proof of the existence of [q4 + q2 \_ q, 5, q'\* -q3 + q2 \_ 2q; q]-codes for any prime power q \_> 3. As a special case, it is shown that
For each prime p in a certain family of odd primes, we construct an S 4 extension of Q unramified outside p. We show that for all p#3 (mod 8) in our family, this S 4 extension embeds in an S 4 extension, which is also unramified outside p. Invoking Serre's conjecture (in a proven case) allows us to