From Reflection Equation Algebra to Matrix Models
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From Reflection Equation Algebra to Matrix Models

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CC Attribution 3.0 Unported:
You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. 
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2021

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English

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Abstract 
Reflection Equation Algebra is one of the Quantum matrix algebras, associated with a given Hecke symmetry, i.e. a braiding of Hecke type. I plan to explain how to introduce analogs of Hermitian Matrix Models arising from these algebras. Some other applications of the Reflection Equation Algebras will be discussed.

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Presentation of a group
Group action
Model theory
Correspondence (mathematics)
Equaliser (mathematics)
Analogy
Solid geometry
Biostatistics
Dimensional analysis
Mechanism design
Envelope (mathematics)
Different (Kate Ryan album)
Physical system
Theory of relativity
Gradient
Infinity
Complete metric space
Sequence
Partition (number theory)
Category of being
Radical (chemistry)
Arithmetic mean
Symmetric matrix
Symmetry (physics)
Order (biology)
Relation <Mathematik>
Nichtlineares Gleichungssystem
Summierbarkeit
Figurate number
Arithmetic progression
Spacetime
Directed graph
Standard error
Eigenvalues and eigenvectors
Letterpress printing
Similarity (geometry)
Partition function (statistical mechanics)
Infinity
Event horizon
Mathematical model
Rule of inference
Depiction
Product (business)
Element (mathematics)
Goodness of fit
Energy level
Modulform
Quantum
Symmetric matrix
Elementary arithmetic
Sakoku
Compass (drafting)
Prisoner's dilemma
Commutator
Operator (mathematics)
Algebraic structure
Basis <Mathematik>
Mortality rate
Supersymmetry
Point reflection
Jacobi method
Function (mathematics)
Collision
Family
Matrix (mathematics)
State of matter
INTEGRAL
Modal logic
Multiplication sign
Skewness
Mereology
Food energy
Mathematics
Positional notation
Matrix (mathematics)
Cuboid
Körper <Algebra>
Determinant
Algebra
Partition (number theory)
Position operator
Area
Polynomial
Process (computing)
Discrete element method
Moment (mathematics)
Term (mathematics)
Flow separation
Connected space
Degree (graph theory)
Equation
Quantum
Metric system
Resultant
Metre
Trail
Functional (mathematics)
Quantum group
Real number
Algebraic structure
Graph coloring
Crosscorrelation
Natural number
Wellformed formula
Symmetry (physics)
Genetic programming
Summierbarkeit
Set theory
Condition number
Addition
Dependent and independent variables
Mathematical model
Coalition
Projective plane
Numerical analysis
Elementary arithmetic
Algebra
Calculation
Object (grammar)
Pressure
Maß <Mathematik>
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