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http://hdl.handle.net/123456789/1938| Title: | Extremality of quaternionic Jørgensen inequality |
| Authors: | Gongopadhyay, Krishnendu |
| Keywords: | Quaternionic matrices Hyperbolic 5-space Jørgensen inequality |
| Issue Date: | 2017 |
| Publisher: | Hiroshima University |
| Citation: | Hiroshima Mathematical Journal, 47 (2) |
| Abstract: | Let SL(2;IH) be the group of 2 × 2 quaternionic matrices with Dieudonné determinant one. The group SL(2;IH) acts on the five dimensional hyperbolic space by isometries. We investigate extremality of Jørgensen type inequalities in SL(2;IH). Along the way, we derive Jørgensen type inequalities for quaternionic Möbius transformations which extend earlier inequalities obtained by Waterman and Kellerhals. © 2017 Hiroshima University. All rights reserved. |
| Description: | Only IISERM authors are available in the record. |
| URI: | https://projecteuclid.org/euclid.hmj/1499392822 http://hdl.handle.net/123456789/1938 |
| Appears in Collections: | Research Articles |
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