Find in Library

Over a field of characteristic <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo>></mo><mn>3</mn></mrow></semantics></math></inline-formula>, let <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>O</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>;</mo><munder><mi>t</mi><mo>̲</mo></munder><mo>)</mo></mrow></semantics></math></inline-formula> denote the odd contact Lie superalgebra. In this paper, the super-biderivations of odd Contact Lie superalgebra <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>O</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>;</mo><munder><mi>t</mi><mo>̲</mo></munder><mo>)</mo></mrow></semantics></math></inline-formula> are studied. Let <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>T</mi><mrow><mi>K</mi><mi>O</mi></mrow></msub></semantics></math></inline-formula> be a torus of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>O</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>;</mo><munder><mi>t</mi><mo>̲</mo></munder><mo>)</mo></mrow></semantics></math></inline-formula>, which is an abelian subalgebra of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>O</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>;</mo><munder><mi>t</mi><mo>̲</mo></munder><mo>)</mo></mrow></semantics></math></inline-formula>. By applying the weight space decomposition approach of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>O</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>;</mo><munder><mi>t</mi><mo>̲</mo></munder><mo>)</mo></mrow></semantics></math></inline-formula> with respect to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>T</mi><mrow><mi>K</mi><mi>O</mi></mrow></msub></semantics></math></inline-formula>, we show that all skew-symmetric super-biderivations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>O</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>;</mo><munder><mi>t</mi><mo>̲</mo></munder><mo>)</mo></mrow></semantics></math></inline-formula> are inner super-biderivations.