메뉴 건너뛰기




Volumn 38, Issue 4, 2006, Pages 529-545

Involutions and anti-automorphisms of algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33746371997     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/S002460930601873X     Document Type: Article
Times cited : (11)

References (36)
  • 1
    • 85027241171 scopus 로고
    • AMS Colloquium Publications 24 revised printing (Amer. Math. Soc., Providence, RI, 1961)
    • A. A. ALBERT, Structure of algebras, AMS Colloquium Publications 24 (1939), revised printing (Amer. Math. Soc., Providence, RI, 1961).
    • (1939) Structure of Algebras
    • Albert, A.A.1
  • 2
    • 84968494355 scopus 로고
    • On involutorial algebras
    • A. A. ALBERT, 'On involutorial algebras', Proc. Nat. Acad. Sci. 51 (1955) 480-482.
    • (1955) Proc. Nat. Acad. Sci. , vol.51 , pp. 480-482
    • Albert, A.A.1
  • 3
    • 33746361546 scopus 로고
    • Systèmes de formes quadratiques d'algèbre donnée
    • E. BAYER-FLUCKIGER, 'Systèmes de formes quadratiques d'algèbre donnée', C. R. Acad. Sci. Paris 321 (1995) 1291-1293.
    • (1995) C. R. Acad. Sci. Paris , vol.321 , pp. 1291-1293
    • Bayer-Fluckiger, E.1
  • 4
    • 13144284954 scopus 로고    scopus 로고
    • Algèbres simples centrales à involution de première espèce1
    • K. BECHER, 'Algèbres simples centrales à involution de première espèce1, Bull. Belg. Math. Soc. 11 (2004) 603-614.
    • (2004) Bull. Belg. Math. Soc. , vol.11 , pp. 603-614
    • Becher, K.1
  • 5
    • 0034355853 scopus 로고    scopus 로고
    • Involutions of semisimple group algebras
    • M. BOULAGOUAZ and L. OUKHTITE, 'Involutions of semisimple group algebras', Arab. J. Sci. Eng. 25 (2000) 133-150.
    • (2000) Arab. J. Sci. Eng. , vol.25 , pp. 133-150
    • Boulagouaz, M.1    Oukhtite, L.2
  • 6
    • 0034410033 scopus 로고    scopus 로고
    • A representation theorem for algebras with commuting involutions
    • M. CABRERA and A. A. MOHAMMED, 'A representation theorem for algebras with commuting involutions', Linear Algebra Appl. 306 (2000) 25-31.
    • (2000) Linear Algebra Appl. , vol.306 , pp. 25-31
    • Cabrera, M.1    Mohammed, A.A.2
  • 7
    • 0037160677 scopus 로고    scopus 로고
    • The asymmetry of an anti-automorphism
    • A. CORTELLA and J.-P. TIGNOL, 'The asymmetry of an anti-automorphism', J. Pure Appl. Algebra. 167 (2002) 175-193.
    • (2002) J. Pure Appl. Algebra , vol.167 , pp. 175-193
    • Cortella, A.1    Tignol, J.-P.2
  • 10
    • 51249190329 scopus 로고
    • Classification theorems for quadratic forms over fields
    • R. ELMAN and T. Y. LAM, 'Classification theorems for quadratic forms over fields', Comm. Math. Helv. 49 (1974) 373-381.
    • (1974) Comm. Math. Helv. , vol.49 , pp. 373-381
    • Elman, R.1    Lam, T.Y.2
  • 11
    • 84968466698 scopus 로고
    • Abraham Adrian Albert (1905-1972)
    • N. JACOBSON, 'Abraham Adrian Albert (1905-1972)', Bull. Amer. Math. Soc. 80 (1974) 1075-1100.
    • (1974) Bull. Amer. Math. Soc. , vol.80 , pp. 1075-1100
    • Jacobson, N.1
  • 12
  • 14
    • 33646882492 scopus 로고
    • Forms over real algebras and the multisignature of a manifold
    • D. W. LEWIS, 'Forms over real algebras and the multisignature of a manifold', Adv. Math. 23 (1977) 272-284.
    • (1977) Adv. Math. , vol.23 , pp. 272-284
    • Lewis, D.W.1
  • 15
    • 0007239096 scopus 로고    scopus 로고
    • A note on trace forms and involutions of the first kind
    • D. W. LEWIS, 'A note on trace forms and involutions of the first kind', Expo. Math. 15 (1997) 265-272.
    • (1997) Expo. Math. , vol.15 , pp. 265-272
    • Lewis, D.W.1
  • 16
    • 0038119608 scopus 로고    scopus 로고
    • Involutions and anti-automorphisms of central simple algebras
    • D. W. LEWIS, 'Involutions and anti-automorphisms of central simple algebras', J. Pure Appl. Algebra 182 (2003) 253-261.
    • (2003) J. Pure Appl. Algebra , vol.182 , pp. 253-261
    • Lewis, D.W.1
  • 17
    • 85027218168 scopus 로고    scopus 로고
    • Anti-automorphisms of the second kind
    • Algebraic and arithmetic theory of quadratic forms
    • D. W. LEWIS, 'Anti-automorphisms of the second kind', in 'Algebraic and arithmetic theory of quadratic forms', Contemp. Math. 344 (2004) 257-264.
    • (2004) Contemp. Math. , vol.344 , pp. 257-264
    • Lewis, D.W.1
  • 18
    • 0040036547 scopus 로고    scopus 로고
    • Classification theorems for central simple algebras with involution
    • (with an appendix by R. Parimala)
    • D. W. LEWIS and J.-P. TIGNOL, 'Classification theorems for central simple algebras with involution' (with an appendix by R. Parimala), Manuscripta Math. 100 (1999) 259-276.
    • (1999) Manuscripta Math. , vol.100 , pp. 259-276
    • Lewis, D.W.1    Tignol, J.-P.2
  • 19
    • 4544306948 scopus 로고    scopus 로고
    • Involutions on finite-dimensional algebras over real closed fields
    • W. D. MUNN, 'Involutions on finite-dimensional algebras over real closed fields', J. Austral. Math. Soc. 77 (2004) 123-128.
    • (2004) J. Austral. Math. Soc. , vol.77 , pp. 123-128
    • Munn, W.D.1
  • 21
    • 0040195106 scopus 로고
    • A representation theorem for algebras with involution
    • H. G. QUEBBEMANN, 'A representation theorem for algebras with involution', Linear Algebra Appl. 94 (1987) 193-195.
    • (1987) Linear Algebra Appl. , vol.94 , pp. 193-195
    • Quebbemann, H.G.1
  • 22
    • 84959773559 scopus 로고
    • Algebraic L-theory I, II
    • A. RANICKI, 'Algebraic L-theory I, II', Proc. London Math. Soc. 27 (1973) 101-125, 126-158.
    • (1973) Proc. London Math. Soc. , vol.27 , pp. 101-125
    • Ranicki, A.1
  • 23
  • 24
    • 0002626902 scopus 로고
    • The corestriction of algebraic structures
    • C. RIEHM, 'The corestriction of algebraic structures', Invent. Math. 11 (1970) 73-98.
    • (1970) Invent. Math. , vol.11 , pp. 73-98
    • Riehm, C.1
  • 26
    • 0001542930 scopus 로고
    • Azumaya algebras with involution
    • D. J. SALTMAN, 'Azumaya algebras with involution', J. Algebra 52 (1978) 526-539.
    • (1978) J. Algebra , vol.52 , pp. 526-539
    • Saltman, D.J.1
  • 27
    • 25844432223 scopus 로고
    • Involutions on orders
    • W. SCHARLAU, 'Involutions on orders', J. Reine Angew. Math. 268/269 (1974) 190-202.
    • (1974) J. Reine Angew. Math. , vol.268-269 , pp. 190-202
    • Scharlau, W.1
  • 28
    • 33746328125 scopus 로고
    • Automorphisms and involutions of incidence algebras
    • Proc. Ottawa 1974 Conf. on Representations of Algebras, (Springer, Berlin)
    • W. SCHARLAU, 'Automorphisms and involutions of incidence algebras', Proc. Ottawa 1974 Conf. on Representations of Algebras, Lecture Notes in Mathematics 488 (Springer, Berlin, 1976) 340-350.
    • (1976) Lecture Notes in Mathematics , vol.488 , pp. 340-350
    • Scharlau, W.1
  • 29
    • 28044435362 scopus 로고
    • Canadian Math. Soc. Conf. Proc. 4 (Amer. Math. Soc., Providence, RI)
    • W. SCHARLAU, Involutions on simple algebras and orders, Canadian Math. Soc. Conf. Proc. 4 (Amer. Math. Soc., Providence, RI, 1984) 141-158.
    • (1984) Involutions on Simple Algebras and Orders , pp. 141-158
    • Scharlau, W.1
  • 31
    • 0001522775 scopus 로고
    • Structure of incidence algebras and their automorphism groups
    • R. P. STANLEY, 'Structure of incidence algebras and their automorphism groups', Bull. Amer. Math. Soc. 76 (1970) 1236-1239.
    • (1970) Bull. Amer. Math. Soc. , vol.76 , pp. 1236-1239
    • Stanley, R.P.1
  • 32
    • 84972541728 scopus 로고
    • Invariant Wedderburn factors
    • E. J. TAFT, 'Invariant Wedderburn factors', Illinois J. Math. 1 (1957) 565-573.
    • (1957) Illinois J. Math. , vol.1 , pp. 565-573
    • Taft, E.J.1
  • 33
    • 33746343719 scopus 로고
    • Cleft algebras with operator groups
    • E. J. TAFT, 'Cleft algebras with operator groups', Portugal. Math. 20 (1961) 195-198.
    • (1961) Portugal. Math. , vol.20 , pp. 195-198
    • Taft, E.J.1
  • 34
    • 0010056828 scopus 로고
    • Classification of hermitian forms, II: Semisimple rings
    • C. T. C. WALL, 'Classification of hermitian forms, II: Semisimple rings', Invent. Math. 18 (1972) 119-141.
    • (1972) Invent. Math. , vol.18 , pp. 119-141
    • Wall, C.T.C.1
  • 35
    • 0002481478 scopus 로고
    • Classification of hermitian forms, VI:Group rings
    • C. T. C. WALL, 'Classification of hermitian forms, VI:Group rings', Ann. of Math. 103 (1976) 1-80.
    • (1976) Ann. of Math. , vol.103 , pp. 1-80
    • Wall, C.T.C.1
  • 36
    • 0000445705 scopus 로고
    • Algebras with involution and the classical groups
    • A. WEIL, 'Algebras with involution and the classical groups', J. Indian Math. Soc. 24 (1960) 589-623.
    • (1960) J. Indian Math. Soc. , vol.24 , pp. 589-623
    • Weil, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.