3 citations · 5 across the 6 of their papers we have counts for
6 papers
Groups with involution, and quasigroups with cracovian representations
Jerzy Kocinski
In groups with involution a nonassociative product of elements is defined, which leads to the definition of a certain type of quasigroups. These quasigroups are represented by squa…
The Infinitesimal-Operator Algebras of Continuous Groups with Antilinear Operations
J. Kocinski, M. Wierzbicki
Continuous groups with antilinear operations of the form , where denotes a linear Lie group, and is an antilinear operation which fulfills the condition $a^2_0=\p…
Continuous Groups with Antilinear Operations
J. Kocinski, M. Wierzbicki
Continuous groups of the form: are defined, where denotes a Lie group and denotes an antilinear operation which fullfils the condition . The matrix…
The Corepresentations of Continuous Groups
J Kocinski, M Wierzbicki
The corepresentation theory of continuous groups is presented without the assumption that the subgroup of the group with antilinear operations is unitary. The formulas of the c…
Quantization of the Classical Maxwell-Nordstrom Fields
J. Kocinski
The classical electromagnetic and gravitomagnetic fields in the vacuum, in (3+2) dimensions, described by the Maxwell-Nordstrom equations, are quantized. These equations are rederi…
The Schwarzschild solution in a Kaluza-Klein theory with two times
J. Kocinski, M. Wierzbicki
A new spherically-symmetric solution is determined in a noncompactified Kaluza-Klein theory in which a time character is ascribed to the fifth coordinate. This solution contains tw…