pseudoreflection
pseudoreflection noun: an invertible linear transformation of a finite-dimensional vector space such that it is not the identity transformation, has a finite (multiplicative) order, and fixes a hyperplane.
Noun
pseudoreflection (plural pseudoreflections)
- An invertible linear transformation of a finite-dimensional vector space such that it is not the identity transformation, has a finite (multiplicative) order, and fixes a hyperplane.
- That is, t′x+y=0 is the pseudo-reflection of tx+y=0 if the ideal points (ρ′,1,0),(ρ,1,0) on the lines are a pair in the involution ρρ′=-h.1967, A Background (natural, Synthetic and Algebraic) to Geometry, CUP Archive, page 293
- A linear transformation g∈BL(V) is a pseudoreflection if rank (g-I)=1.1985, Susan Montgomery, Group Actions on Rings, American Mathematical Soc., page 104
Forms of pseudoreflection
| plural | pseudoreflections |
|---|
Origin of pseudoreflection
From pseudo- + reflection.
Questions about pseudoreflection
- What does pseudoreflection mean?
- Pseudoreflection means an invertible linear transformation of a finite-dimensional vector space such that it is not the identity transformation, has a finite (multiplicative) order, and fixes a hyperplane.
- What part of speech is pseudoreflection?
- Pseudoreflection is a noun.
- What is the plural of pseudoreflection?
- The plural of pseudoreflection is pseudoreflections.
Words near pseudoreflection in the dictionary
Source and license
Adapted from Wiktionary: pseudoreflection (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “pseudoreflection.” Word.ws, https://word.ws/pseudoreflection. Based on Wiktionary, CC BY-SA 4.0.