Noncrystallographic Coxeter group H4 in E8

Journal of Physics A: Mathematical and General

Volumn 34, Issue 50, 2001, Pages 11201-11213

  Koca, Mehmet ^a   Koc, Ramazan ^b   Al Barwani, Muataz ^a  

^a SULTAN QABOOS UNIVERSITY   (Oman)

^b GAZIANTEP UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035931053     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/50/303     Document Type: Article

References (25)

1. Baake M, Joseph D, Kramer P and Schlottman M 1990 J. Phys. A: Math, Gen. 23 L1037 Kramer P, Papadopolos Z and Zeidler D 1992 Group Theory in Physics (AIP Conf. Proc. vol 266) 179 Janssen T 1986 Acta Crystallogr. A 24 261 Bak P 1985 Phys. Rev. B 32 5764 Alexander J 1986 J. Phys. (Paris) 47 C3-143 Michel L 1986 J. Phys. (Paris) 47 C3-495 Mermin N D 1992 Rev. Mod. Phys. 64 3
2. Baake M, Joseph D, Kramer P and Schlottman M 1990 J. Phys. A: Math, Gen. 23 L1037 Kramer P, Papadopolos Z and Zeidler D 1992 Group Theory in Physics (AIP Conf. Proc. vol 266) 179 Janssen T 1986 Acta Crystallogr. A 24 261 Bak P 1985 Phys. Rev. B 32 5764 Alexander J 1986 J. Phys. (Paris) 47 C3-143 Michel L 1986 J. Phys. (Paris) 47 C3-495 Mermin N D 1992 Rev. Mod. Phys. 64 3
3. Baake M, Joseph D, Kramer P and Schlottman M 1990 J. Phys. A: Math, Gen. 23 L1037 Kramer P, Papadopolos Z and Zeidler D 1992 Group Theory in Physics (AIP Conf. Proc. vol 266) 179 Janssen T 1986 Acta Crystallogr. A 24 261 Bak P 1985 Phys. Rev. B 32 5764 Alexander J 1986 J. Phys. (Paris) 47 C3-143 Michel L 1986 J. Phys. (Paris) 47 C3-495 Mermin N D 1992 Rev. Mod. Phys. 64 3
4. Baake M, Joseph D, Kramer P and Schlottman M 1990 J. Phys. A: Math, Gen. 23 L1037 Kramer P, Papadopolos Z and Zeidler D 1992 Group Theory in Physics (AIP Conf. Proc. vol 266) 179 Janssen T 1986 Acta Crystallogr. A 24 261 Bak P 1985 Phys. Rev. B 32 5764 Alexander J 1986 J. Phys. (Paris) 47 C3-143 Michel L 1986 J. Phys. (Paris) 47 C3-495 Mermin N D 1992 Rev. Mod. Phys. 64 3
5. Baake M, Joseph D, Kramer P and Schlottman M 1990 J. Phys. A: Math, Gen. 23 L1037 Kramer P, Papadopolos Z and Zeidler D 1992 Group Theory in Physics (AIP Conf. Proc. vol 266) 179 Janssen T 1986 Acta Crystallogr. A 24 261 Bak P 1985 Phys. Rev. B 32 5764 Alexander J 1986 J. Phys. (Paris) 47 C3-143 Michel L 1986 J. Phys. (Paris) 47 C3-495 Mermin N D 1992 Rev. Mod. Phys. 64 3
6. Baake M, Joseph D, Kramer P and Schlottman M 1990 J. Phys. A: Math, Gen. 23 L1037 Kramer P, Papadopolos Z and Zeidler D 1992 Group Theory in Physics (AIP Conf. Proc. vol 266) 179 Janssen T 1986 Acta Crystallogr. A 24 261 Bak P 1985 Phys. Rev. B 32 5764 Alexander J 1986 J. Phys. (Paris) 47 C3-143 Michel L 1986 J. Phys. (Paris) 47 C3-495 Mermin N D 1992 Rev. Mod. Phys. 64 3
7. Baake M, Joseph D, Kramer P and Schlottman M 1990 J. Phys. A: Math, Gen. 23 L1037 Kramer P, Papadopolos Z and Zeidler D 1992 Group Theory in Physics (AIP Conf. Proc. vol 266) 179 Janssen T 1986 Acta Crystallogr. A 24 261 Bak P 1985 Phys. Rev. B 32 5764 Alexander J 1986 J. Phys. (Paris) 47 C3-143 Michel L 1986 J. Phys. (Paris) 47 C3-495 Mermin N D 1992 Rev. Mod. Phys. 64 3
8. Koca M, Koca O N and Koc R 1998 Tr. J. Phys. 22 421
9. Coxeter H S M 1973 Regular Complex Polytopes (Cambridge: Cambridge University Press) Humphreys J E 1990 Reflection Groups and Coxeter Groups (Cambridge: Cambridge University Press) ch 2
10. Coxeter H S M 1973 Regular Complex Polytopes (Cambridge: Cambridge University Press) Humphreys J E 1990 Reflection Groups and Coxeter Groups (Cambridge: Cambridge University Press) ch 2
11. Wilson R A 1986 Geometria Dedicata 20 157
12. Conway J H and Sloane N J A 1988 Sphere-Packing, Lattices and Groups (Berlin: Springer) ch 8
13. Koca M 1989 J. Phys. A: Math. Gen. 22 4125
14. Elsver V and Sloane N J A 1987 J. Phys. A: Math. Gen. 20 6161 Moody R V and Patera J 1993 J. Phys. A: Math. Gen. 26 2829 Sadoc J F and Mosseri R 1993 J. Non-Cryst. Solids 153 247
15. Elsver V and Sloane N J A 1987 J. Phys. A: Math. Gen. 20 6161 Moody R V and Patera J 1993 J. Phys. A: Math. Gen. 26 2829 Sadoc J F and Mosseri R 1993 J. Non-Cryst. Solids 153 247
16. Elsver V and Sloane N J A 1987 J. Phys. A: Math. Gen. 20 6161 Moody R V and Patera J 1993 J. Phys. A: Math. Gen. 26 2829 Sadoc J F and Mosseri R 1993 J. Non-Cryst. Solids 153 247
17. Polchinski J 1998 String Theory vol I, II (Cambridge: Cambridge University Press) Kaku M 1999 Introduction to Superstrings and M-Theory (Berlin: Springer)
18. Polchinski J 1998 String Theory vol I, II (Cambridge: Cambridge University Press) Kaku M 1999 Introduction to Superstrings and M-Theory (Berlin: Springer)
19. du Val P 1964 Homographies, Quaternions and Rotations (Cambridge: Cambridge University Press)
20. Coxeter H S M and Moser W O J 1965 Generators and Relations for Discrete Groups 4th edn (Berlin: Springer)
21. Freudenthal H 1962 Advances in Mathematics vol 1 p 145 Tits J 1962 Proc. Colloq. Utrecht p 175 Rozenfeld B A 1962 Proc. Colloq. Utrecht p 135
22. Freudenthal H 1962 Advances in Mathematics vol 1 p 145 Tits J 1962 Proc. Colloq. Utrecht p 175 Rozenfeld B A 1962 Proc. Colloq. Utrecht p 135
23. Freudenthal H 1962 Advances in Mathematics vol 1 p 145 Tits J 1962 Proc. Colloq. Utrecht p 175 Rozenfeld B A 1962 Proc. Colloq. Utrecht p 135
24. Scherbak O P 1988 Russ. Math. Surv. 43:3 149
25. Grove L C 1974 Reine. Angew. Math. 265 160