ALGEBRAS, GROUPS AND GEOMETRIES

ALGEBRAS, GROUPS AND GEOMETRIES

VOLUME 13, 1996

THE THEORY OF SMOOTH HYPOREDUCTIVE AND PSEUDOREDUCTIVE LOOPS, 1
L. V. Sabinin
Department of Mathematics
Russia Friendship of Nations University
Mikluho Maklaya, 6, Moscow 117198, Russia

ON THE NEW VERSION OF THE HAHN–BANACH THEOREM, 25
Aboubakr Bayoumi
Department of Mathematics, College of Science
King Saud University, P. O. Box 2455
Riyadh 11451, Saudi Arabia

ON THE CLASSIFICATION OF QUADRATIC HARMONIC MORPHISMS BETWEEN EUCLIDEAN SPACES, 41
Ye–Lin Ou
Department of Mathematics,
Guangxi University for Nationalities
Nanning 530006, P. R., China
John C. Wood
Department of Pure Mathematics, School of Mathematics
University of Leeds, Leeds LS2 9JT, U. K.

STUDY OF TWO INVARIANTS IN COMPLEX FILIFORM LIE ALGEBRAS, 55
F. J. Echarte Reula, J. Nunez Valdes and F. Ramirez Lopez
Dept. Algebra, Computacion, Geometria y Topologia
Universidad de Sevilla, Aptdo 1160
41080 Sevilla, Spain

A LOCAL ERGODIC THEOREM IN SEMIFINITE ON NEUMANN ALGEBRAS, 71
E. Castrandas
National Technical University of Athens
Department of Mathematics, Athens, Greece

HYPERSURFACES IN IR1N SATISFYING Îx = Ax + B, 81
S. M. B. Kashani
Institute for Studies in Theoretical Physics and Mathematics
P. O. Box 19395– 1795, Tehran, Iran

INVARIANT CONNECTIONS ON COMPACT SIMPLE LIE GROUPS, 93
Osamu Ikawa
Department of Mathematics
Fukushima National College of Technology
Iwaki, Fukushima 970, Japan

CALCULATION OF THE ADELIC ZETA FUNCTION ASSOCIATED WITH P.V.(GL(2),M(2)) OVER A FUNCTION FIELD, 105
Takeyoshi Kogiso
Institute of Mathematics, University of Tsukuba
Ibaraki 305, Japan

STUDIES ON THE CLASSIFICATION OF LIE-SANTILLI ALGEBRAS, 129
Grigorios Tsagas
Aristotle University of Thessaloniki
School of Technology, Division of Mathematics
Thessaloniki 54006, Greece

ISOAFFINE CONNECTIONS AND SANTILLI'S ISORIEMANNIAN METRICS ON AN ISOMANIFOLD, 149
Grigorios Tsagas
Aristotle University of Thessaloniki
School of Technology, Division of Mathematics
Thessaloniki 54006, Greece

AN INTRODUCTION TO THE LIE–SANTILLI ISOTHEORY, 171
J. V. Kadeisvili
Institute for Basic Research
P.O.Box 1577, Palm Harbor, FL 34682, USA

A CHARACTERIZATION OF PSEUDOISOFIELDS, 283
Noriaki Kamiya
Department of Mathematics, Shimane University
Matsue 690, Japan
Ruggero Maria Santilli
Institute for Basic Research
P.O.Box 1577, Palm Harbor, FL 34682

ON POWER ASSOCIATIVE BERNSTEIN ALGEBRAS OF ARBITRARY ORDER, 295
D. A. Towers
Department of Mathematics and Statistics
Lancaster University, Lancaster LA1 4YF, England
K. Bowman
Department of Mathematics and Statistics
University of Central Lancashire, Preston PR1 2HE, England

ON THE GEOMETRY OF THE LAGRANGIAN–GRASSMANNIAN BUNDLES, 323
Izu Vaisman
Department of Mathematics and Computer Science
University of Haifa, Haifa 31905, Israel

FINITELY GENERATED BERNSTEIN ALGEBRAS, 343
Ivan Correa
Departamente de Matematica, Facultad de Ciencias
Benavente 980, La Serena, Chile

INVARIANTS DANS LES ALGEBRES DE BERNSTEIN, 349
Cesar Burguenýo and Cristian Mallol
Departamento de Matematica y Estadistica
Universidad de la Frontera, Casilla 54-D, Temuco, Chile

ROTATIONAL SURFACES OF FINITE TYPE IN 3-DIMENSIONAL DE SITTER SPACE, 369
Huili Liu
Technische Universitat, FB-Mathematik, MA-8-3
Strae des 17. Juni, 136, 10623 Berlin, Germany

SEMISYMMETRIC CURVATURE OPERATORS AND RIEMANNIAN 4–SPACES ELEMENTARILY CLASSIFIED, 371
Ulo Lumiste
Institute of Pure Mathematics, Tartu University
Vanemuise 46, EE2400 Tartu, Estonia

ON QUASI–CYCLIC NILPOTENT LIE ALGEBRAS, 389
A. Kobotis
Department of Business Administration
University of Macedonia, 156 Egnatia Str.
54006 Thessaloniki, Greece

PIERCE TRANSFORMATION, AUTHOMOSPHISMS AND DERIVATIONS IN TRAIN ALGEBRAS OF RANK 3, 401
R.Benavides and C. Mallol
Departamento de Matematica y Estadistica
Universidad de la Frontera,
Casilla 54-D, Temuco, Chile

NONCOMMUTATIVE JORDAN LOCALLY PSEUDOCONVEX Q–ALGEBRAS, 413
Mati Abel
Institute of Pure Mathematics, University of Tartu
EE2400 Tartu, Estonia

REALIZATION OF THE EXCEPTIONAL SIMPLE GRADED LIE ALGEBRAS OF THE SECOND KIND, 431
Satoshi Gomyo
Department of Mathematical Sciences
Yokohama City University, 22–2 Seto, Kanazawa–ku
Yokohama 236, Japan

LOCAL DIFFERENTIABLE LOOPS AND BRST–LIKE COHOMOLOGY, 465
Piret Kuusk
Institute of Physics, Riia 142
Tartu EE2400, Estonia
Eugen Paal
Department of Mathematics, Tallinn Technical University
Ehitajate tee 5, Tallinn EE2400, Estonia

LINEAR REPRESENTATIONS OF ANALYTICMOUFANG LOOPS, 471
E. K. Loginov
Department of Mathematics, Ivanovo State Energy University